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The marked price of a bed sheet is Rs.500. At the time of its sale, two successive discounts of 10% and 5% are available. Find the selling price (in Rs.) of the bed sheet?
एक बेडशीट का अंकित मूल्य ₹500 है। इसकी बिक्री के समय 10% और 5% की दो क्रमिक छूट उपलब्ध हैं। बेडशीट का विक्रय मूल्य (₹ में) ज्ञात कीजिए?
(A) (a) Rs.432.50
(B) (b) Rs.427.50
(C) (c) Rs.445.00
(D) (d) Rs.430.00
✅ Answer & Explanation
Sahi jawab: B) (b) Rs.427.50Explanation: Method 1 (Ratio Method): Step 1: Fractions me badlein: - 10% discount = 1/10 ==> 10 : 9 - 5% discount = 1/20 ==> 20 : 19 Step 2: Combined ratio: MP : SP = (10 * 20) : (9 * 19) = 200 : 171. Step 3: 200 units = ₹500 ==> 1 unit = 500 / 200 = 2.5. Step 4: SP = 171 * 2.5 = ₹427.50. Atah sahi vikalp (b) Rs.427.50 hai. Method 2 (100-Base Method): Step 1: MP = ₹500. Step 2: Pehli chhoot ke baad mulya = 500 * 0.90 = ₹450. Step 3: Dusri chhoot ke baad antim SP = 450 * 0.95 = ₹427.50. Atah sahi uttar (b) hai.
A book, originally priced at ₹600, is subject to a reduction in cost through two consecutive discounts; an initial markdown of 10%, followed by an additional 20% discount. The question then is to determine the conclusive selling price of the book once both these successive price adjustments have been applied.
मूल रूप से ₹600 की एक पुस्तक पर दो क्रमिक छूट के माध्यम से मूल्य में कमी की जाती है; 10% की प्रारंभिक कटौती, जिसके बाद 20% की अतिरिक्त छूट दी जाती है। दोनों क्रमिक मूल्य समायोजनों के लागू होने के बाद पुस्तक का अंतिम विक्रय मूल्य ज्ञात कीजिए।
(A) (a) ₹432
(B) (b) ₹396
(C) (c) ₹384
(D) (d) ₹350
✅ Answer & Explanation
Sahi jawab: A) (a) ₹432Explanation: Method 1 (Ratio Method): Step 1: Fractions me badlein: - 10% discount = 1/10 ==> 10 : 9 - 20% discount = 1/5 ==> 5 : 4 Step 2: Combined ratio: MP : SP = (10 * 5) : (9 * 4) = 50 : 36 = 25 : 18. Step 3: 25 units = ₹600 ==> 1 unit = 600 / 25 = 24. Step 4: Final SP = 18 * 24 = ₹432. Atah sahi vikalp (a) ₹432 hai. Method 2 (100-Base Method): Step 1: Successive discount = 10 + 20 - (10 * 20 / 100) = 28%. Step 2: Final SP = 600 * (1 - 0.28) = 600 * 0.72 = ₹432. Atah sahi uttar (a) hai.
The marked price of a washing machine is ₹25,000 and it is available with two successive discounts of 12% and 10%. Find its final price for a customer.
एक वाशिंग मशीन का अंकित मूल्य ₹25,000 है और यह 12% और 10% की दो क्रमिक छूटों के साथ उपलब्ध है। ग्राहक के लिए इसका अंतिम मूल्य ज्ञात कीजिए।
(A) (a) ₹20,000
(B) (b) ₹19,500
(C) (c) ₹19,800
(D) (d) ₹19,000
✅ Answer & Explanation
Sahi jawab: C) (c) ₹19,800Explanation: Method 1 (Ratio Method): Step 1: Fractions me badlein: - 12% discount = 3/25 ==> 25 : 22 - 10% discount = 1/10 ==> 10 : 9 Step 2: Combined ratio: MP : SP = (25 * 10) : (22 * 9) = 250 : 198. Step 3: 250 units = ₹25,000 ==> 1 unit = 100. Step 4: Final SP = 198 * 100 = ₹19,800. Atah sahi vikalp (c) ₹19,800 hai. Method 2 (100-Base Method): Step 1: Pehli chhoot ke baad mulya = 25,000 * 0.88 = ₹22,000. Step 2: Dusri chhoot ke baad SP = 22,000 * 0.90 = ₹19,800. Atah sahi uttar (c) hai.
A buyer gets two successive discounts of 20% and 10% on a ₹1000 item. What is the price paid?
एक खरीदार को ₹1000 की वस्तु पर 20% और 10% की दो क्रमिक छूट मिलती है। भुगतान किया गया मूल्य क्या है?
(A) (a) ₹700
(B) (b) ₹720
(C) (c) ₹740
(D) (d) ₹750
✅ Answer & Explanation
Sahi jawab: B) (b) ₹720Explanation: Method 1 (Ratio Method): Step 1: Fractions me badlein: - 20% discount = 1/5 ==> 5 : 4 - 10% discount = 1/10 ==> 10 : 9 Step 2: Combined ratio: MP : SP = (5 * 10) : (4 * 9) = 50 : 36 = 100 : 72. Step 3: 100 units = ₹1,000 ==> 1 unit = 10. Step 4: SP = 72 * 10 = ₹720. Atah sahi vikalp (b) ₹720 hai. Method 2 (100-Base Method): Step 1: Net Discount = 20 + 10 - 2 = 28%. Step 2: Price Paid = 1000 * (1 - 0.28) = 1000 * 0.72 = ₹720. Atah sahi uttar (b) hai.
Sheela gets a discount of 25% on Rs. 10000 oven. Since she pays cash, she gets an additional 2% discount too. How much does she pay?
शीला को ₹10,000 के ओवन पर 25% की छूट मिलती है। चूंकि वह नकद भुगतान करती है, इसलिए उसे 2% की अतिरिक्त छूट भी मिलती है। वह कितना भुगतान करती है?
(A) (a) ₹7000
(B) (b) ₹7250
(C) (c) ₹7350
(D) (d) ₹7500
✅ Answer & Explanation
Sahi jawab: C) (c) ₹7350Explanation: Method 1 (Ratio Method): Step 1: Fractions me badlein: - 25% discount = 1/4 ==> 4 : 3 - 2% discount = 1/50 ==> 50 : 49 Step 2: Combined ratio: MP : SP = (4 * 50) : (3 * 49) = 200 : 147. Step 3: 200 units = ₹10,000 ==> 1 unit = 10000 / 200 = 50. Step 4: Final SP = 147 * 50 = ₹7,350. Atah sahi vikalp (c) ₹7350 hai. Method 2 (100-Base Method): Step 1: 25% discount ke baad mulya = 10,000 * 0.75 = ₹7,500. Step 2: 2% cash discount ke baad bhugtan = 7,500 * (1 - 0.02) = 7,500 * 0.98 = ₹7,350. Atah sahi uttar (c) hai.
The marked price of a grinder was ₹3,000, and the dealer offered successive discounts of 20% and 15% on it. For how much did he sell the grinder?
एक ग्राइंडर का अंकित मूल्य ₹3,000 था, और डीलर ने उस पर 20% और 15% की क्रमिक छूट की पेशकश की। उसने ग्राइंडर को कितने में बेचा?
(A) (a) ₹2,040
(B) (b) ₹2,000
(C) (c) ₹2,200
(D) (d) ₹2,400
✅ Answer & Explanation
Sahi jawab: A) (a) ₹2,040Explanation: Method 1 (Ratio Method): Step 1: Fractions me badlein: - 20% discount = 1/5 ==> 5 : 4 - 15% discount = 3/20 ==> 20 : 17 Step 2: Combined ratio: MP : SP = (5 * 20) : (4 * 17) = 100 : 68. Step 3: 100 units = ₹3,000 ==> 1 unit = 30. Step 4: Final SP = 68 * 30 = ₹2,040. Atah sahi vikalp (a) ₹2,040 hai. Method 2 (100-Base Method): Step 1: Net Discount = 20 + 15 - (20 * 15 / 100) = 35 - 3 = 32%. Step 2: SP = 3000 * (1 - 0.32) = 3000 * 0.68 = ₹2,040. Atah sahi uttar (a) hai.
A wholesaler offers a bulk order deal where a 10% discount is applied to orders above ₹15,000, and a 5% additional seasonal discount is available. What is the effective price paid for an order worth ₹20,000?
एक थोक व्यापारी एक थोक ऑर्डर सौदे की पेशकश करता है जहाँ ₹15,000 से अधिक के ऑर्डर पर 10% की छूट लागू होती है, और 5% की अतिरिक्त मौसमी छूट उपलब्ध है। ₹20,000 मूल्य के ऑर्डर के लिए भुगतान किया गया प्रभावी मूल्य क्या है?
(A) (a) ₹17,100
(B) (b) ₹17,500
(C) (c) ₹17,000
(D) (d) ₹16,800
✅ Answer & Explanation
Sahi jawab: A) (a) ₹17,100Explanation: Method 1 (Ratio Method): Step 1: Fractions me badlein: - 10% discount = 1/10 ==> 10 : 9 - 5% discount = 1/20 ==> 20 : 19 Step 2: Combined ratio: MP : SP = (10 * 20) : (9 * 19) = 200 : 171. Step 3: Order ka moolya = ₹20,000 (jo ₹15,000 se adhik hai, isliye dono chhoot lagu hongi). 200 units = ₹20,000 ==> 1 unit = 100. Step 4: Effective price = 171 * 100 = ₹17,100. Atah sahi vikalp (a) ₹17,100 hai. Method 2 (100-Base Method): Step 1: 10% discount ke baad rashi = 20,000 * 0.90 = ₹18,000. Step 2: 5% seasonal discount ke baad antim bhugtan = 18,000 * 0.95 = ₹17,100. Atah sahi uttar (a) hai.
A television set has a marked price of ₹20,000. It is sold after two successive discounts. If the first discount is 15% and the final selling price is ₹15,300, what is the percentage of the second discount?
एक टेलीविजन सेट का अंकित मूल्य ₹20,000 है। इसे दो क्रमिक छूटों के बाद बेचा जाता है। यदि पहली छूट 15% है और अंतिम विक्रय मूल्य ₹15,300 है, तो दूसरी छूट का प्रतिशत क्या है?
(A) (a) 10%
(B) (b) 12%
(C) (c) 14%
(D) (d) 15%
✅ Answer & Explanation
Sahi jawab: A) (a) 10%Explanation: Method 1 (Ratio Method): Step 1: 15% discount (3/20) lagane ke baad pehla SP1 nikalein: MP : SP1 = 20 : 17. 20 units = ₹20,000 ==> SP1 = ₹17,000. Step 2: Antim SP = ₹15,300. Dusri chhoot ke liye moolya anupat: SP1 : Final SP = 17,000 : 15,300 = 170 : 153 = 10 : 9. Step 3: Chhoot = 10 - 9 = 1 unit. Dusri discount% = (1 / 10) * 100% = 10%. Atah sahi vikalp (a) 10% hai. Method 2 (100-Base Method): Step 1: Pehli chhoot ke baad mulya = 20,000 * 0.85 = ₹17,000. Step 2: Dusri chhoot ki rashi = 17,000 - 15,300 = ₹1,700. Step 3: Dusri discount% = (1,700 / 17,000) * 100% = 10%. Atah sahi uttar (a) hai.
A wholesaler buys a batch of ceiling fans at a 50% markup over the factory's base cost C. He then allows a 20% trade discount to the retailer. The retailer applies a 40% markup on his cost and offers a flat 10% discount to customers on the printed price. If a customer finally pays 18,144, what is the original base cost (C) of one ceiling fan from the factory?
एक थोक विक्रेता कारखाने की मूल लागत C पर 50% अधिक मूल्य पर सीलिंग फैन का एक बैच खरीदता है। फिर वह खुदरा विक्रेता को 20% व्यापारिक छूट देता है। खुदरा विक्रेता अपनी लागत पर 40% मार्कअप लगाता है और मुद्रित मूल्य पर ग्राहकों को 10% की सीधी छूट देता है। यदि कोई ग्राहक अंततः 18,144 का भुगतान करता है, तो कारखाने से एक सीलिंग फैन की मूल लागत (C) क्या है?
(A) (a) ₹12,000
(B) (b) ₹11,500
(C) (c) ₹10,800
(D) (d) ₹10,000
✅ Answer & Explanation
Sahi jawab: A) (a) ₹12,000Explanation: Method 1 (Ratio Method): Step 1: Sabhi charano ke fractional multipliers nikalein: - Wholesaler ka kharid mulya (50% markup = +1/2) ==> Multiplier = 3/2 - Retailer ko trade discount (20% discount = -1/5) ==> Multiplier = 4/5 - Retailer ka markup (40% markup = +2/5) ==> Multiplier = 7/5 - Customer ko discount (10% discount = -1/10) ==> Multiplier = 9/10 Step 2: C aur Final SP ka composite ratio: Final SP = C * (3 / 2) * (4 / 5) * (7 / 5) * (9 / 10) Final SP = C * (3 * 2 * 7 * 9) / (5 * 5 * 10) = C * (378 / 250) = C * (189 / 125). Step 3: Prashnanusar 189 units = ₹18,144. 1 unit = 18,144 / 189 = 96. Step 4: Mool laagat C (125 units) = 125 * 96 = ₹12,000. Atah sahi vikalp (a) ₹12,000 hai. Method 2 (100-Base Method): Step 1: Multiplier = 1.50 * 0.80 * 1.40 * 0.90 = 1.20 * 1.26 = 1.512. Step 2: 1.512 * C = 18,144. Step 3: C = 18,144 / 1.512 = ₹12,000. Atah sahi uttar (a) hai.
If the price item is increased by 70% and then allows a scheme discount of 5% and 20% on this marked price. If price is paid in cash and additional discount of 20% is allowed then what is his gain percentage?
यदि किसी वस्तु की कीमत में 70% की वृद्धि की जाती है और फिर इस अंकित मूल्य पर 5% और 20% की योजना छूट दी जाती है। यदि कीमत का भुगतान नकद में किया जाता है और 20% की अतिरिक्त छूट दी जाती है तो उसका लाभ प्रतिशत क्या है?
(A) (a) 2.25%
(B) (b) 3.25%
(C) (c) 4.36%
(D) (d) 3.36%
✅ Answer & Explanation
Sahi jawab: D) (d) 3.36%Explanation: Method 1 (Ratio Method): Step 1: Fractional multipliers likhein: - Markup 70% (+7/10) ==> CP : MP = 10 : 17 - Discount 5% (-1/20) ==> 20 : 19 - Discount 20% (-1/5) ==> 5 : 4 - Cash discount 20% (-1/5) ==> 5 : 4 Step 2: Initial CP aur Final SP ka combined ratio: CP : SP = (10 * 20 * 5 * 5) : (17 * 19 * 4 * 4) CP : SP = 5000 : 5168. Step 3: Gain = 5168 - 5000 = 168 units. Step 4: Gain% = (168 / 5000) * 100% = 168 / 50% = 3.36%. Atah sahi vikalp (d) 3.36% hai. Method 2 (100-Base Method): Step 1: Mana CP = 100 ==> MP = 170. Step 2: SP = 170 * (1 - 0.05) * (1 - 0.20) * (1 - 0.20) = 170 * 0.95 * 0.80 * 0.80 = 170 * 0.95 * 0.64 = 170 * 0.608 = 103.36. Step 3: Gain% = 103.36 - 100 = 3.36%. Atah sahi uttar (d) hai.
A seller gives a 20% discount and charges 18% GST on the discounted price. On a ₹2000 item, how much is payable?
एक विक्रेता 20% की छूट देता है और रियायती मूल्य पर 18% GST लगाता है। ₹2000 की वस्तु पर, कितना देय है?
(A) (a) ₹1888
(B) (b) ₹1892
(C) (c) ₹1896
(D) (d) ₹1900
✅ Answer & Explanation
Sahi jawab: A) (a) ₹1888Explanation: Method 1 (Ratio Method): Step 1: 20% discount (1/5) ==> MP : SP_before_tax = 5 : 4. 5 units = ₹2000 ==> 1 unit = 400 ==> SP_before_tax = 4 * 400 = ₹1,600. Step 2: 18% GST (9/50) lagane par: Payable amount = 1600 * (1 + 18/100) = 16 * 118 = ₹1,888. Atah sahi vikalp (a) ₹1888 hai. Method 2 (100-Base Method): Step 1: Discounted price = 2000 * 0.80 = ₹1,600. Step 2: 18% GST = 1600 * 0.18 = ₹288. Step 3: Total payable = 1600 + 288 = ₹1,888. Atah sahi uttar (a) hai.
A pair of shoes is listed at ₹800. After two successive discounts, it is sold for ₹612. If the first discount offered was 10%, what was the second discount percentage?
जूते की एक जोड़ी ₹800 पर सूचीबद्ध है। दो क्रमिक छूटों के बाद, इसे ₹612 में बेचा जाता है। यदि दी गई पहली छूट 10% थी, तो दूसरी छूट का प्रतिशत क्या था?
(A) (a) 12%
(B) (b) 14%
(C) (c) 15%
(D) (d) 18%
✅ Answer & Explanation
Sahi jawab: C) (c) 15%Explanation: Method 1 (Ratio Method): Step 1: Pehli chhoot (10% = 1/10) ke baad mulya SP1: SP1 = 800 * (9 / 10) = ₹720. Step 2: SP1 aur Antim SP ka anupat: SP1 : Final SP = 720 : 612. 72 se kaatne par: 720 / 72 = 10, aur 612 / 72 = 8.5 ==> 10 : 8.5 = 20 : 17. Step 3: Chhoot = 20 - 17 = 3 units. Dusri discount% = (3 / 20) * 100% = 15%. Atah sahi vikalp (c) 15% hai. Method 2 (100-Base Method): Step 1: Price after 10% discount = 800 * 0.90 = ₹720. Step 2: Second discount amount = 720 - 612 = ₹108. Step 3: Second discount% = (108 / 720) * 100% = 1080 / 72% = 15%. Atah sahi uttar (c) hai.
A shopkeeper, on the eve of Diwali, allowed a series of discounts on television sets. Find the selling price of a television set, if the marked price of television is Rs. 1,200 and successive discounts are 15% and 10%.
दिवाली की पूर्व संध्या पर एक दुकानदार ने टेलीविजन सेटों पर छूट की एक श्रृंखला की अनुमति दी। टेलीविजन सेट का विक्रय मूल्य ज्ञात कीजिए, यदि टेलीविजन का अंकित मूल्य 1,200 रुपये है और क्रमिक छूट 15% और 10% है।
(A) (a) Rs.945
(B) (b) Rs.918
(C) (c) Rs.975
(D) (d) Rs.965
✅ Answer & Explanation
Sahi jawab: B) (b) Rs.918Explanation: Method 1 (Ratio Method): Step 1: Fractional ratios: - 15% discount = 3/20 ==> 20 : 17 - 10% discount = 1/10 ==> 10 : 9 Step 2: Combined ratio: MP : SP = (20 * 10) : (17 * 9) = 200 : 153. Step 3: 200 units = ₹1,200 ==> 1 unit = 6. Step 4: SP = 153 * 6 = ₹918. Atah sahi vikalp (b) Rs.918 hai. Method 2 (100-Base Method): Step 1: Net Discount = 15 + 10 - (15 * 10 / 100) = 25 - 1.5 = 23.5%. Step 2: SP = 1200 * (1 - 0.235) = 1200 * 0.765 = ₹918. Atah sahi uttar (b) hai.
A book publisher offers a novel to a bookstore at a 30% discount on the cover price. However, they charge an additional 5% on the discounted price for shipping. The bookstore sells the novel for ₹1620 more, earning a profit of 40%. What was the original cover price of the novel?
एक पुस्तक प्रकाशक एक बुकस्टोर को कवर मूल्य पर 30% की छूट पर एक उपन्यास प्रदान करता है। हालांकि, वे शिपिंग के लिए रियायती मूल्य पर अतिरिक्त 5% शुल्क लेते हैं। बुकस्टोर उपन्यास को ₹1620 अधिक में बेचता है, जिससे 40% का लाभ होता है। उपन्यास का मूल कवर मूल्य क्या था?
(A) (a) ₹5,510.20
(B) (b) ₹19,254.62
(C) (c) ₹18,181.82
(D) (d) ₹20,654.67
✅ Answer & Explanation
Sahi jawab: A) (a) ₹5,510.20Explanation: Method 1 (Ratio Method): Step 1: Mana novel ka cover price = C. 30% discount (3/10) ke baad mulya = (7/10) C. Shipping charge 5% (1/20) jodne par bookstore ka CP: CP = (7/10) C * (21/20) = (147 / 200) C. Step 2: Bookstore ise ₹1620 adhik me bechkar 40% (2/5) labh kamata hai: Labh = 40% of CP = ₹1,620. (2/5) * CP = 1620 ==> CP = 1620 * (5/2) = ₹4,050. Step 3: Cover price C nikalein: (147 / 200) C = 4050 C = (4050 * 200) / 147 = 810000 / 147 ≈ ₹5,510.20. Atah sahi vikalp (a) ₹5,510.20 hai. Method 2 (100-Base Method): Step 1: Profit = 40% of Bookstore CP = ₹1,620. Bookstore CP = 1620 / 0.40 = ₹4,050. Step 2: Bookstore CP = Cover Price * (1 - 0.30) * (1 + 0.05) = Cover Price * 0.70 * 1.05 = 0.735 * Cover Price. Step 3: Cover Price = 4050 / 0.735 ≈ ₹5,510.20. Atah sahi uttar (a) hai.
A store offers a "25% off" discount but charges 5% VAT on the discounted price. If the marked price is ₹1600, what is the final amount paid?
एक स्टोर "25% की छूट" प्रदान करता है लेकिन रियायती मूल्य पर 5% वैट लेता है। यदि अंकित मूल्य ₹1600 है, तो भुगतान की गई अंतिम राशि क्या है?
(A) (a) ₹1200
(B) (b) ₹1260
(C) (c) ₹1275
(D) (d) ₹1320
✅ Answer & Explanation
Sahi jawab: B) (b) ₹1260Explanation: Method 1 (Ratio Method): Step 1: 25% discount (1/4) ==> MP : Discounted Price = 4 : 3. 4 units = ₹1600 ==> 1 unit = 400 ==> Discounted Price = 3 * 400 = ₹1,200. Step 2: 5% VAT (1/20) lagane par: Discounted Price : Final SP = 20 : 21. 20 units = 1200 ==> 1 unit = 60 ==> Final SP = 21 * 60 = ₹1,260. Atah sahi vikalp (b) ₹1260 hai. Method 2 (100-Base Method): Step 1: 25% chhoot ke baad moolya = 1600 * 0.75 = ₹1,200. Step 2: 5% VAT jodne par antim moolya = 1200 * 1.05 = ₹1,260. Atah sahi uttar (b) hai.
A shopkeeper offers a 20% discount on the marked price of an article. If the marked price of the article is Rs.2500 and the shopkeeper further gives a 10% discount on the already reduced price, what is the final selling price of the article?
एक दुकानदार किसी वस्तु के अंकित मूल्य पर 20% की छूट देता है। यदि वस्तु का अंकित मूल्य 2500 रुपये है और दुकानदार पहले से घटी हुई कीमत पर 10% की अतिरिक्त छूट देता है, तो वस्तु का अंतिम विक्रय मूल्य क्या है?
(A) (a) ₹1850
(B) (b) ₹1800
(C) (c) ₹1600
(D) (d) ₹1700
✅ Answer & Explanation
Sahi jawab: B) (b) ₹1800Explanation: Method 1 (Ratio Method): Step 1: Kramik chhoot anupat: - 20% discount = 1/5 ==> 5 : 4 - 10% discount = 1/10 ==> 10 : 9 Step 2: Combined ratio: MP : SP = (5 * 10) : (4 * 9) = 50 : 36 = 25 : 18. Step 3: 25 units = ₹2,500 ==> 1 unit = 100. Final SP = 18 * 100 = ₹1,800. Atah sahi vikalp (b) ₹1800 hai. Method 2 (100-Base Method): Step 1: Net Discount = 20 + 10 - (20 * 10 / 100) = 28%. Step 2: Final SP = 2500 * (1 - 0.28) = 2500 * 0.72 = ₹1,800. Atah sahi uttar (b) hai.
A shopkeeper offers successive discounts of 20% and 10% on a bag and sells it for ₹864. What was the original marked price of the bag ?
एक दुकानदार एक बैग पर 20% और 10% की क्रमिक छूट देता है और इसे ₹864 में बेचता है। बैग का मूल अंकित मूल्य क्या था?
(A) (a) ₹1,897
(B) (b) ₹1,200
(C) (c) ₹1,786
(D) (d) ₹1,123
✅ Answer & Explanation
Sahi jawab: B) (b) ₹1,200Explanation: Method 1 (Ratio Method): Step 1: Fractions me badlein: - 20% discount = 1/5 ==> 5 : 4 - 10% discount = 1/10 ==> 10 : 9 Step 2: Combined ratio: MP : SP = (5 * 10) : (4 * 9) = 50 : 36 = 25 : 18. Step 3: Prashnanusar SP (18 units) = ₹864. 1 unit = 864 / 18 = 48. Step 4: Marked Price (MP) = 25 units = 25 * 48 = ₹1,200. Atah sahi vikalp (b) ₹1,200 hai. Method 2 (100-Base Method): Step 1: Net Discount = 20 + 10 - 2 = 28% ==> SP = 72% of MP. Step 2: 72% of MP = ₹864. MP = 864 / 0.72 = ₹1,200. Atah sahi uttar (b) hai.
A vendor bought a book marked at ₹850 at successive discounts of 20% and 10%, respectively. He spent ₹55 on transport and sold the book for ₹980. What will be his profit percentage (rounded off to 2 decimal places)?
एक विक्रेता ने ₹850 अंकित मूल्य वाली पुस्तक क्रमशः 20% और 10% की क्रमिक छूट पर खरीदी। उसने परिवहन पर ₹55 खर्च किए और पुस्तक को ₹980 में बेच दिया। उसका लाभ प्रतिशत क्या होगा (2 दशमलव स्थानों तक पूर्णांकित)?
(A) (a) 46.93%
(B) (b) 50.65%
(C) (c) 48.25%
(D) (d) 45.65%
✅ Answer & Explanation
Sahi jawab: A) (a) 46.93%Explanation: Method 1 (Ratio Method): Step 1: Kharid dar (Purchase Price) nikalein: MP = ₹850 par successive discounts 20% (4/5) aur 10% (9/10): Purchase Price = 850 * (4 / 5) * (9 / 10) = 85 * 4 * 9 / 5 = 17 * 36 = ₹612. Step 2: Parivahan par ₹55 jodne par kul laagat (Total CP): Total CP = 612 + 55 = ₹667. Step 3: SP = ₹980. Kul Labh = 980 - 667 = ₹313. Step 4: Profit% = (313 / 667) * 100% ≈ 46.926% ≈ 46.93%. Atah sahi vikalp (a) 46.93% hai. Method 2 (100-Base Method): Step 1: Purchase Price = 850 * 0.80 * 0.90 = ₹612. Step 2: Total CP = 612 + 55 = ₹667. Step 3: Profit% = [(980 - 667) / 667] * 100% = (313 / 667) * 100% ≈ 46.93%. Atah sahi uttar (a) hai.
After offering two successive discounts a toy with a marked price of ₹150 is sold at ₹105. If the value of the first discount is 12.5%, what is the value of the second discount?
दो क्रमिक छूट देने के बाद ₹150 के अंकित मूल्य वाले एक खिलौने को ₹105 में बेचा जाता है। यदि पहली छूट का मान 12.5% है, तो दूसरी छूट का मान क्या है?
(A) (a) 21%
(B) (b) 18%
(C) (c) 20%
(D) (d) 22%
✅ Answer & Explanation
Sahi jawab: C) (c) 20%Explanation: Method 1 (Ratio Method): Step 1: 12.5% discount = 1/8 ==> MP : SP1 = 8 : 7. 8 units = ₹150 ==> SP1 = 150 * (7 / 8) = ₹131.25. Step 2: Dusri chhoot ke baad antim SP = ₹105. Dusri chhoot ki rashi = 131.25 - 105 = ₹26.25. Step 3: Dusri discount% = (26.25 / 131.25) * 100% = (1 / 5) * 100% = 20%. Atah sahi vikalp (c) 20% hai. Method 2 (100-Base Method): Step 1: Price after 1st discount = 150 * (1 - 0.125) = 150 * 0.875 = ₹131.25. Step 2: 131.25 * (1 - d2/100) = 105. 1 - d2/100 = 105 / 131.25 = 4 / 5 = 0.80 ==> d2 = 20%. Atah sahi uttar (c) hai.
A vase has a marked price of ₹550. Simran pays ₹350 for it because she got 2 successive discounts, one of 20% and the other of:
एक फूलदान का अंकित मूल्य ₹550 है। सिमरन इसके लिए ₹350 का भुगतान करती है क्योंकि उसे 2 क्रमिक छूटें मिलीं, एक 20% और दूसरी:
(A) (a) 21%
(B) (b) 22%
(C) (c) 19.25%
(D) (d) 20.45%
✅ Answer & Explanation
Sahi jawab: D) (d) 20.45%Explanation: Method 1 (Ratio Method): Step 1: Pehli chhoot (20% = 1/5) ke baad mulya SP1: SP1 = 550 * (4 / 5) = ₹440. Step 2: Simran ₹350 ka bhugtan karti hai ==> Dusri chhoot = 440 - 350 = ₹90. Step 3: Dusri chhoot ka pratishat: Discount% = (90 / 440) * 100% = (9 / 44) * 100% = 225 / 11% ≈ 20.4545% ≈ 20.45%. Atah sahi vikalp (d) 20.45% hai. Method 2 (100-Base Method): Step 1: Intermediate price after 20% discount = 550 * 0.80 = ₹440. Step 2: Second discount amount = 440 - 350 = ₹90. Step 3: Second discount percentage = (90 / 440) * 100% ≈ 20.45%. Atah sahi uttar (d) hai.
A wholesaler marks up the price of a microwave oven by 60% above its cost price. He gives a 15% trade discount to a retailer. The retailer, in turn, marks up the price by 25% above his purchase price and offers a 10% festival discount to the customer. If the customer finally pays Rs.14,490 for the microwave, what is the original approximate cost price of the oven to the wholesaler?
एक थोक विक्रेता एक माइक्रोवेव ओवन की कीमत को उसके क्रय मूल्य से 60% अधिक अंकित करता है। वह एक खुदरा विक्रेता को 15% व्यापारिक छूट देता है। खुदरा विक्रेता अपने खरीद मूल्य से 25% अधिक मूल्य अंकित करता है और ग्राहक को 10% त्योहारी छूट प्रदान करता है। यदि ग्राहक अंततः माइक्रोवेव के लिए 14,490 रुपये का भुगतान करता है, तो थोक विक्रेता के लिए ओवन का मूल अनुमानित क्रय मूल्य क्या है?
(A) (a) Rs.9,471
(B) (b) Rs.9,500
(C) (c) Rs.10,000
(D) (d) Rs.10,500
✅ Answer & Explanation
Sahi jawab: A) (a) Rs.9,471Explanation: Method 1 (Ratio Method): Step 1: Sabhi charano ke fractional multipliers likhein: - Wholesaler markup (+60% = +3/5) ==> 8/5 - Wholesaler discount to retailer (-15% = -3/20) ==> 17/20 - Retailer markup (+25% = +1/4) ==> 5/4 - Retailer festival discount (-10% = -1/10) ==> 9/10 Step 2: Wholesaler ke CP aur Final Customer SP ka composite ratio: Final SP = CP * (8 / 5) * (17 / 20) * (5 / 4) * (9 / 10) Final SP = CP * (8 * 17 * 5 * 9) / (5 * 20 * 4 * 10) Final SP = CP * (6120 / 4000) = CP * (153 / 100) = 1.53 * CP. Step 3: Prashnanusar 1.53 * CP = ₹14,490. CP = 14490 / 1.53 = 1449000 / 153 ≈ ₹9,470.588 ≈ Rs.9,471. Atah sahi vikalp (a) Rs.9,471 hai. Method 2 (100-Base Method): Step 1: Mana Wholesaler CP = 100. - Wholesaler MP = 160. - Retailer CP = 160 * 0.85 = 136. - Retailer MP = 136 * 1.25 = 170. - Customer SP = 170 * 0.90 = 153. Step 2: 153 units = ₹14,490 ==> 1 unit = 14490 / 153 ≈ 94.706. Step 3: Wholesaler CP (100 units) = 100 * 94.706 ≈ Rs.9,471. Atah sahi uttar (a) hai.
An electronic store owner allows two successive discounts of 20% and 25% on each item. The store has a reward points scheme which enables a customer to get free shopping worth ₹0.10 on every 1 reward point credited to the customer's account on previous purchases from the store. A customer decides to buy a laptop that is marked at ₹72,000. What will be its net selling price if he has 2850 reward points to his credit?
एक इलेक्ट्रॉनिक स्टोर का मालिक प्रत्येक वस्तु पर 20% और 25% की दो क्रमिक छूट देता है। स्टोर में एक रिवॉर्ड पॉइंट योजना है जो ग्राहक को स्टोर से पिछली खरीदारी पर ग्राहक के खाते में जमा प्रत्येक 1 रिवॉर्ड पॉइंट पर ₹0.10 की मुफ्त खरीदारी प्राप्त करने में सक्षम बनाती है। एक ग्राहक एक लैपटॉप खरीदने का फैसला करता है जो ₹72,000 पर अंकित है। यदि उसके खाते में 2850 रिवॉर्ड पॉइंट जमा हैं, तो इसका शुद्ध विक्रय मूल्य क्या होगा?
(A) (a) ₹43,200
(B) (b) ₹42,915
(C) (c) ₹42,215
(D) (d) ₹42,942
✅ Answer & Explanation
Sahi jawab: B) (b) ₹42,915Explanation: Method 1 (Ratio Method): Step 1: 20% (1/5) aur 25% (1/4) kramik chhoot lagane par: MP : SP1 = (5 * 4) : (4 * 3) = 20 : 12 = 5 : 3. 5 units = ₹72,000 ==> 1 unit = 14,400. Chhoot ke baad mulya (3 units) = 3 * 14,400 = ₹43,200. Step 2: Reward points ka discount nikalein: 2850 points * ₹0.10 = ₹285. Step 3: Reward points ghatane par net selling price: Net SP = 43,200 - 285 = ₹42,915. Atah sahi vikalp (b) ₹42,915 hai. Method 2 (100-Base Method): Step 1: Successive discount = 20 + 25 - (20 * 25 / 100) = 45 - 5 = 40%. Step 2: Price after trade discounts = 72,000 * (1 - 0.40) = 72,000 * 0.60 = ₹43,200. Step 3: Points discount = 2850 * 0.10 = ₹285. Step 4: Final net price = 43,200 - 285 = ₹42,915. Atah sahi uttar (b) hai.
Two successive discounts, each of x% on the marked price of an article, are equal to a single discount of ₹331.20. If the marked price of the article is 920, then the value of x is:
किसी वस्तु के अंकित मूल्य पर प्रत्येक x% की दो क्रमिक छूट, ₹331.20 की एकल छूट के बराबर हैं। यदि वस्तु का अंकित मूल्य 920 है, तो x का मान है:
(A) (a) 20
(B) (b) 18
(C) (c) 15
(D) (d) 25
✅ Answer & Explanation
Sahi jawab: A) (a) 20Explanation: Method 1 (Ratio Method): Step 1: MP = ₹920, Kul discount = ₹331.20. Antim SP = 920 - 331.20 = ₹588.80. Step 2: MP aur SP ka anupat banayein: SP / MP = 588.80 / 920 = 5888 / 9200 = 64 / 100. Step 3: Chunki do barabar chhoot (x%) di gayi hain: (1 - x/100)^2 = 64 / 100 1 - x/100 = √(64 / 100) = 8 / 10 = 0.80. Step 4: x/100 = 1 - 0.80 = 0.20 ==> x = 20. Atah sahi vikalp (a) 20 hai. Method 2 (100-Base Method): Step 1: Total discount% = (331.20 / 920) * 100% = 36%. Step 2: Do saman kramik chhoot ka formula: 2x - x^2/100 = 36%. Step 3: x = 20 rakhne par: 2(20) - (20^2)/100 = 40 - 4 = 36% (satyapit hota hai). Atah sahi uttar (a) hai.
The marked price of an article is ₹1500. If two successive discounts, each of x%, on the marked price is equal to a single discount of ₹587.40, then what will be the selling price of the article if a single discount of x% is given on the marked price?
एक वस्तु का अंकित मूल्य ₹1500 है। यदि अंकित मूल्य पर प्रत्येक x% की दो क्रमिक छूट, ₹587.40 की एकल छूट के बराबर है, तो यदि अंकित मूल्य पर x% की एकल छूट दी जाती है तो वस्तु का विक्रय मूल्य क्या होगा?
(A) (a) ₹1025
(B) (b) ₹1155
(C) (c) ₹1170
(D) (d) ₹1200
✅ Answer & Explanation
Sahi jawab: C) (c) ₹1170Explanation: Method 1 (Ratio Method): Step 1: MP = ₹1500, Kul discount = ₹587.40. Antim SP = 1500 - 587.40 = ₹912.60. Step 2: SP aur MP ka anupat: SP / MP = 912.60 / 1500 = 9126 / 15000 = 3042 / 5000 = 1521 / 2500. Step 3: Do saman chhooton ke baad: (1 - x/100)^2 = 1521 / 2500. 1 - x/100 = √(1521 / 2500) = 39 / 50. Step 4: x% chhoot ke baad SP ka multiplier 39/50 hoga: Single discount of x% par SP = 1500 * (39 / 50) = 30 * 39 = ₹1,170. Atah sahi vikalp (c) ₹1170 hai. Method 2 (100-Base Method): Step 1: 1 - x/100 = 39/50 = 0.78 ==> x = 22%. Step 2: MP par 22% ki ekal chhoot dene par: SP = 1500 * (1 - 0.22) = 1500 * 0.78 = ₹1,170. Atah sahi uttar (c) hai.
An article is listed at ₹7,600 and the discount offered on it is 10%. What additional discount must be given to bring the net selling price to ₹5814?
एक वस्तु ₹7,600 पर सूचीबद्ध है और उस पर 10% की छूट दी जाती है। शुद्ध विक्रय मूल्य को ₹5814 पर लाने के लिए कितनी अतिरिक्त छूट दी जानी चाहिए?
(A) (a) 10%
(B) (b) 8%
(C) (c) 15%
(D) (d) 12%
✅ Answer & Explanation
Sahi jawab: C) (c) 15%Explanation: Method 1 (Ratio Method): Step 1: 10% chhoot (1/10) ke baad madhyavarti moolya (SP1): SP1 = 7600 * (9 / 10) = ₹6,840. Step 2: Lakshya antim SP = ₹5,814. Atirikt chhoot anupat: SP1 : Final SP = 6840 : 5814. Step 3: Chhoot ki rashi = 6840 - 5814 = ₹1,026. Step 4: Additional Discount% = (1026 / 6840) * 100% = 10260 / 684% = 15%. Atah sahi vikalp (c) 15% hai. Method 2 (100-Base Method): Step 1: Price after 10% discount = 7600 * 0.90 = ₹6,840. Step 2: Additional discount needed = 6840 - 5814 = ₹1,026. Step 3: Discount% = (1026 / 6840) * 100% = 15%. Atah sahi uttar (c) hai.
After giving two successive discounts, each of x%, on the market price of an article, the total discount is ₹259.20. If the marked price of the article is ₹720, then the value of x is:
किसी वस्तु के बाजार मूल्य पर प्रत्येक x% की दो क्रमिक छूट देने के बाद, कुल छूट ₹259.20 है। यदि वस्तु का अंकित मूल्य ₹720 है, तो x का मान है:
(A) (a) 18
(B) (b) 24
(C) (c) 25
(D) (d) 20
✅ Answer & Explanation
Sahi jawab: D) (d) 20Explanation: Method 1 (Ratio Method): Step 1: MP = ₹720, Total discount = ₹259.20. Antim SP = 720 - 259.20 = ₹460.80. Step 2: SP aur MP ka anupat: SP / MP = 460.80 / 720 = 4608 / 7200 = 64 / 100. Step 3: Do saman kramik chhoot ke karan: (1 - x/100)^2 = 64 / 100 1 - x/100 = 8 / 10 = 0.80 ==> x = 20. Atah sahi vikalp (d) 20 hai. Method 2 (100-Base Method): Step 1: Net Discount% = (259.20 / 720) * 100% = 2592 / 72% = 36%. Step 2: 2x - x^2/100 = 36 ==> x = 20. Atah sahi uttar (d) hai.
After getting two successive discounts, a calculator with a list price for ₹900 is available at ₹612. If the value of the second discount is 15%, what is the value of the first discount?
दो क्रमिक छूट मिलने के बाद, ₹900 के सूची मूल्य वाला एक कैलकुलेटर ₹612 में उपलब्ध है। यदि दूसरी छूट का मान 15% है, तो पहली छूट का मान क्या है?
(A) (a) 20%
(B) (b) 10%
(C) (c) 12.5%
(D) (d) 15%
✅ Answer & Explanation
Sahi jawab: A) (a) 20%Explanation: Method 1 (Ratio Method): Step 1: Dusri chhoot 15% (3/20) hai, arthat SP1 : Final SP = 20 : 17. 17 units = ₹612 ==> 1 unit = 612 / 17 = 36. SP1 (1st discount ke baad moolya) = 20 * 36 = ₹720. Step 2: Pehli chhoot List Price (₹900) par di gayi thi: MP : SP1 = 900 : 720 = 5 : 4. Step 3: Chhoot = 5 - 4 = 1 unit. First Discount% = (1 / 5) * 100% = 20%. Atah sahi vikalp (a) 20% hai. Method 2 (100-Base Method): Step 1: SP1 * (1 - 0.15) = 612 ==> SP1 * 0.85 = 612 ==> SP1 = 612 / 0.85 = ₹720. Step 2: First discount amount = 900 - 720 = ₹180. Step 3: First Discount% = (180 / 900) * 100% = 20%. Atah sahi uttar (a) hai.
Three shopkeepers A, B and C marked an identical article at ₹4820. A, B and C sold their article on successive discounts of 20% and 20%; 25% and 15%; 30% and 10% respectively. Which shopkeeper gives the maximum discount and how much (in ₹)?
तीन दुकानदारों A, B और C ने एक समान वस्तु का मूल्य ₹4820 अंकित किया। A, B और C ने अपनी वस्तु को क्रमशः 20% और 20%; 25% और 15%; 30% और 10% की क्रमिक छूट पर बेचा। कौन सा दुकानदार अधिकतम छूट देता है और कितनी (₹ में)?
(A) (a) C, 1780
(B) (b) A, 1735.20
(C) (c) B, 1800
(D) (d) C, 1783.40
✅ Answer & Explanation
Sahi jawab: D) (d) C, 1783.40Explanation: Method 1 (Ratio & Concept Method): Step 1: Teeno schemes me chhooton ka yog barabar hai (20+20 = 25+15 = 30+10 = 40%). Step 2: Adhiktam discount wahan milta hai jahan chhooton ke beech ka antar sabse bada ho (30 - 10 = 20 sabse bada antar hai), isliye Dukandar C adhiktam discount dega. Step 3: Dukandar C ka net discount percentage: D_C = 30 + 10 - (30 * 10 / 100) = 40 - 3 = 37%. Step 4: ₹4,820 par 37% discount ki rashi: Discount = 4820 * (37 / 100) = 48.20 * 37 = ₹1,783.40. Atah Dukandar C adhiktam discount deta hai, jo ₹1,783.40 hai. Atah sahi vikalp (d) C, 1783.40 hai. Method 2 (100-Base Method): Step 1: Net discounts: - A: 20 + 20 - 4 = 36% ==> Discount = 0.36 * 4820 = ₹1,735.20. - B: 25 + 15 - 3.75 = 36.25% ==> Discount = 0.3625 * 4820 = ₹1,747.25. - C: 30 + 10 - 3 = 37% ==> Discount = 0.37 * 4820 = ₹1,783.40. Step 2: Maximum discount C deta hai = ₹1,783.40. Atah sahi uttar (d) C, 1783.40 hai.
At a factory outlet of a footwear company, every item is available at a discount of 10%. Charu selected footwear marked for ₹900. While paying the bill, it was found that the footwear was slightly damaged for which she got another discount of 10%. How much did she pay for the footwear?
एक फुटवियर कंपनी के फैक्ट्री आउटलेट पर प्रत्येक वस्तु 10% की छूट पर उपलब्ध है। चारू ने ₹900 अंकित मूल्य वाले फुटवियर का चयन किया। बिल का भुगतान करते समय, यह पाया गया कि फुटवियर थोड़ा क्षतिग्रस्त था जिसके लिए उसे 10% की एक और छूट मिली। उसने फुटवियर के लिए कितना भुगतान किया?
(A) (a) ₹720
(B) (b) ₹729
(C) (c) ₹810
(D) (d) ₹801
✅ Answer & Explanation
Sahi jawab: B) (b) ₹729Explanation: Method 1 (Ratio Method): Step 1: 10% chhoot = 1/10 ==> MP : SP1 = 10 : 9. Step 2: Punah 10% chhoot = 1/10 ==> SP1 : SP2 = 10 : 9. Step 3: Combined ratio: MP : Final SP = (10 * 10) : (9 * 9) = 100 : 81. Step 4: 100 units = ₹900 ==> 1 unit = 9. Final SP = 81 * 9 = ₹729. Atah sahi vikalp (b) ₹729 hai. Method 2 (100-Base Method): Step 1: Pehli chhoot ke baad mulya = 900 * 0.90 = ₹810. Step 2: Atirikt 10% chhoot ke baad bhugtan = 810 * 0.90 = ₹729. Atah sahi uttar (b) hai.
On an item having a marked price of ₹1600. Successive discounts of Y% and Z% were offered. As a result, the item was sold for ₹1056. Which of the options below cannot be a set of values for Y and Z?
₹1600 के अंकित मूल्य वाली एक वस्तु पर Y% और Z% की दो क्रमिक छूटें दी गईं। परिणामस्वरूप, वस्तु ₹1056 में बेची गई। नीचे दिए गए विकल्पों में से कौन सा Y और Z के मानों का एक सेट नहीं हो सकता है?
(A) (a) Y = 22, Z = 15.5
(B) (b) Y = 4, Z = 31.25
(C) (c) Y = 20, Z = 17.5
(D) (d) Y = 12, Z = 25
✅ Answer & Explanation
Sahi jawab: A) (a) Y = 22, Z = 15.5Explanation: Method 1 (Ratio & Effective Discount Method): Step 1: Kul di gayi chhoot = 1600 - 1056 = ₹544. Step 2: Kul effective discount% = (544 / 1600) * 100% = 544 / 16% = 34%. Step 3: Kramik chhooton ka sutra: Net Discount = Y + Z - (YZ / 100) = 34%. Ab vikalpo ki janch karein: - (b) Y = 4, Z = 31.25: 4 + 31.25 - (4 * 31.25 / 100) = 35.25 - 1.25 = 34% (sambhav hai) - (c) Y = 20, Z = 17.5: 20 + 17.5 - (20 * 17.5 / 100) = 37.5 - 3.5 = 34% (sambhav hai) - (d) Y = 12, Z = 25: 12 + 25 - (12 * 25 / 100) = 37 - 3 = 34% (sambhav hai) - (a) Y = 22, Z = 15.5: 22 + 15.5 - (22 * 15.5 / 100) = 37.5 - 3.41 = 34.09% ≠ 34% (sambhav nahi hai). Atah vikalp (a) Y aur Z ka sahi set nahi ho sakta. Atah sahi vikalp (a) Y = 22, Z = 15.5 hai. Method 2 (100-Base Method): Step 1: Final SP factor = 1056 / 1600 = 0.66. Step 2: (1 - Y/100)(1 - Z/100) = 0.66 hona chahiye. Step 3: (1 - 0.22)(1 - 0.155) = 0.78 * 0.845 = 0.6591 ≠ 0.66. Atah vikalp (a) sahi uttar hai.