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A computer is sold at ₹7650 after applying a 15% discount. What was its market price?
15% की छूट लागू करने के बाद एक कंप्यूटर ₹7650 में बेचा जाता है। इसका बाजार मूल्य क्या था?
(A) (a) ₹8500
(B) (b) ₹8800
(C) (c) ₹9000
(D) (d) ₹9500
✅ Answer & Explanation
Sahi jawab: C) (c) ₹9000Explanation: Method 1 (Ratio Method): Step 1: 15% chhoot = 3/20 ==> MP : SP = 20 : (20 - 3) = 20 : 17. Step 2: Prashnanusar SP (17 units) = ₹7,650. 1 unit = 7650 / 17 = 450. Step 3: Market Price (MP) = 20 units = 20 * 450 = ₹9,000. Atah sahi vikalp (c) ₹9000 hai. Method 2 (100-Base Method): Step 1: SP = 100% - 15% = 85% of MP. Step 2: 85% = ₹7,650 ==> 1% = 7650 / 85 = 90. Step 3: MP (100%) = 100 * 90 = ₹9,000. Atah sahi uttar (c) hai.
In a store, an item with marked price of ₹82,500 is available at a discounted price of ₹79,200. What is the percentage of discount given on that item?
एक स्टोर में, ₹82,500 के अंकित मूल्य वाली एक वस्तु ₹79,200 के रियायती मूल्य पर उपलब्ध है। उस वस्तु पर दी गई छूट का प्रतिशत क्या है?
(A) (a) 4%
(B) (b) 3%
(C) (c) 1%
(D) (d) 2%
✅ Answer & Explanation
Sahi jawab: A) (a) 4%Explanation: Method 1 (Ratio Method): Step 1: MP aur SP ka anupat banayein: MP : SP = 82,500 : 79,200 = 825 : 792. 33 se kaatne par: 825 / 33 = 25 aur 792 / 33 = 24 ==> MP : SP = 25 : 24. Step 2: Chhoot (Discount) = 25 - 24 = 1 unit. Step 3: Discount% = (Discount / MP) * 100% = (1 / 25) * 100% = 4%. Atah sahi vikalp (a) 4% hai. Method 2 (100-Base Method): Step 1: Kul Chhoot = MP - SP = 82,500 - 79,200 = ₹3,300. Step 2: Discount% = (3,300 / 82,500) * 100% = 3300 / 825% = 4%. Atah sahi uttar (a) hai.
The selling price of a vintage vase is ₹1800 and the discount given is 4%. What is the marked price of the vase?
एक विंटेज फूलदान का विक्रय मूल्य ₹1800 है और दी गई छूट 4% है। फूलदान का अंकित मूल्य क्या है?
(A) (a) ₹1768
(B) (b) ₹1700
(C) (c) ₹1850
(D) (d) ₹1875
✅ Answer & Explanation
Sahi jawab: D) (d) ₹1875Explanation: Method 1 (Ratio Method): Step 1: 4% discount = 1/25 ==> MP : SP = 25 : 24. Step 2: Prashnanusar SP (24 units) = ₹1,800. 1 unit = 1800 / 24 = 75. Step 3: Marked Price (MP) = 25 units = 25 * 75 = ₹1,875. Atah sahi vikalp (d) ₹1875 hai. Method 2 (100-Base Method): Step 1: SP = 100% - 4% = 96% of MP. Step 2: 96% = ₹1,800 ==> 1% = 1800 / 96 = 18.75. Step 3: MP (100%) = 100 * 18.75 = ₹1,875. Atah sahi uttar (d) hai.
A dress is marked at ₹3,500. A discount offer changes from 10% to 15%. How much extra discount does a customer get?
एक पोशाक पर ₹3,500 अंकित है। छूट का प्रस्ताव 10% से बदलकर 15% हो जाता है। ग्राहक को कितनी अतिरिक्त छूट मिलती है?
(A) (a) ₹175
(B) (b) ₹185
(C) (c) ₹195
(D) (d) ₹200
✅ Answer & Explanation
Sahi jawab: A) (a) ₹175Explanation: Method 1 (Ratio Method): Step 1: Chhoot me antar = 15% - 10% = 5%. 5% = 1/20. Step 2: Extra discount = (1/20) of MP = (1/20) * 3500 = ₹175. Atah sahi vikalp (a) ₹175 hai. Method 2 (100-Base Method): Step 1: Pehli chhoot = 10% of 3500 = ₹350. Step 2: Nayi chhoot = 15% of 3500 = ₹525. Step 3: Atirikt chhoot = 525 - 350 = ₹175. Atah sahi uttar (a) hai.
A merchant advertise 10% off on the items bought from his store. Find the discount got by a customer who bought a bag worth ₹560, an exercise book worth ₹90 and a pen worth ₹45.
एक व्यापारी अपने स्टोर से खरीदी गई वस्तुओं पर 10% की छूट का विज्ञापन करता है। उस ग्राहक को मिलने वाली छूट ज्ञात कीजिए जिसने ₹560 का बैग, ₹90 की नोटबुक और ₹45 का पेन खरीदा।
(A) (a) ₹59
(B) (b) ₹69.50
(C) (c) ₹65
(D) (d) ₹67.50
✅ Answer & Explanation
Sahi jawab: B) (b) ₹69.50Explanation: Method 1 (Ratio Method): Step 1: Kul ankit moolya (Total MP) = 560 + 90 + 45 = ₹695. Step 2: 10% chhoot (1/10) ==> Discount = 695 / 10 = ₹69.50. Atah sahi vikalp (b) ₹69.50 hai. Method 2 (100-Base Method): Step 1: Kul kharid rashi = ₹695. Step 2: Discount = 10% of 695 = 0.10 * 695 = ₹69.50. Atah sahi uttar (b) hai.
The marked price of an electronic watch in a store is ₹15,620 and it is available at a discount of 27%. What is the price (in ₹) to the nearest tens that a customer pays if he buys from the store?
एक स्टोर में एक इलेक्ट्रॉनिक घड़ी का अंकित मूल्य ₹15,620 है और यह 27% की छूट पर उपलब्ध है। यदि कोई ग्राहक स्टोर से खरीदता है तो वह निकटतम दहाई में क्या कीमत (₹ में) चुकाता है?
(A) (a) ₹12,500
(B) (b) ₹11,400
(C) (c) ₹9,880
(D) (d) ₹10,880
✅ Answer & Explanation
Sahi jawab: B) (b) ₹11,400Explanation: Method 1 (Ratio Method): Step 1: 27% discount par SP anupat: MP : SP = 100 : 73. Step 2: MP = ₹15,620. SP = 15620 * (73 / 100) = 156.20 * 73. Step 3: Guna karein: 156.2 * 73 = 11,402.60. Step 4: Nearest tens (nikattam dahai) me maapne par: 11,402.60 ≈ ₹11,400. Atah sahi vikalp (b) ₹11,400 hai. Method 2 (100-Base Method): Step 1: SP = (100% - 27%) of 15,620 = 73% of 15,620. Step 2: SP = 0.73 * 15,620 = ₹11,402.60. Step 3: Nikattam dahai = ₹11,400. Atah sahi uttar (b) hai.
A laptop is listed at ₹60,000. If seller offers a festival discount of 20% followed by a cashback of ₹2,000. What is the effective price paid?
एक लैपटॉप ₹60,000 पर सूचीबद्ध है। यदि विक्रेता 20% की त्योहारी छूट और उसके बाद ₹2,000 का कैशबैक प्रदान करता है। भुगतान की गई प्रभावी कीमत क्या है?
(A) (a) ₹46,000
(B) (b) ₹48,000
(C) (c) ₹48,800
(D) (d) ₹47,000
✅ Answer & Explanation
Sahi jawab: A) (a) ₹46,000Explanation: Method 1 (Ratio Method): Step 1: 20% discount (1/5) ==> MP : SP1 = 5 : 4. 5 units = ₹60,000 ==> 1 unit = 12,000 ==> SP1 = 4 * 12,000 = ₹48,000. Step 2: ₹2,000 ka cashback ghatane par: Effective price = 48,000 - 2,000 = ₹46,000. Atah sahi vikalp (a) ₹46,000 hai. Method 2 (100-Base Method): Step 1: 20% chhoot ke baad moolya = 60,000 * 0.80 = ₹48,000. Step 2: Cashback ke baad antim moolya = 48,000 - 2,000 = ₹46,000. Atah sahi uttar (a) hai.
12 books each of ₹360 are sold at ₹3600. What is the percentage of the discount given?
₹360 प्रत्येक की 12 पुस्तकें ₹3600 में बेची जाती हैं। दी गई छूट का प्रतिशत क्या है?
(A) (a) 16.67%
(B) (b) 18%
(C) (c) 15.5%
(D) (d) 14.57%
✅ Answer & Explanation
Sahi jawab: A) (a) 16.67%Explanation: Method 1 (Ratio Method): Step 1: Kul MP = 12 * 360 = ₹4,320. Kul SP = ₹3,600. Step 2: MP : SP = 4320 : 3600 = 432 : 360 = 6 : 5. Step 3: Chhoot = 6 - 5 = 1 unit. Discount% = (1 / 6) * 100% = 16.67%. Atah sahi vikalp (a) 16.67% hai. Method 2 (100-Base Method): Step 1: 1 pustak ka SP = 3600 / 12 = ₹300. Step 2: 1 pustak par chhoot = 360 - 300 = ₹60. Step 3: Discount% = (60 / 360) * 100% = (1 / 6) * 100% = 16.67%. Atah sahi uttar (a) hai.
At a clearance sale, a shopkeeper gives 45% discount. If a customer paid ₹330 during the sale, then what is the marked price of that shirt?
एक क्लीयरेंस सेल में, एक दुकानदार 45% की छूट देता है। यदि किसी ग्राहक ने सेल के दौरान ₹330 का भुगतान किया, तो उस कमीज का अंकित मूल्य क्या है?
(A) (a) ₹550
(B) (b) ₹600
(C) (c) ₹500
(D) (d) ₹650
✅ Answer & Explanation
Sahi jawab: B) (b) ₹600Explanation: Method 1 (Ratio Method): Step 1: 45% discount = 45/100 = 9/20 ==> MP : SP = 20 : (20 - 9) = 20 : 11. Step 2: Grahak ne ₹330 chukaye ==> SP (11 units) = ₹330. 1 unit = 330 / 11 = ₹30. Step 3: Marked Price (MP) = 20 units = 20 * 30 = ₹600. Atah sahi vikalp (b) ₹600 hai. Method 2 (100-Base Method): Step 1: SP = 100% - 45% = 55% of MP. Step 2: 55% = ₹330 ==> 1% = 330 / 55 = 6. Step 3: MP (100%) = 100 * 6 = ₹600. Atah sahi uttar (b) hai.
Marked price of an article is 140 percent of the value of discount. Marked price is what percent of the selling price?
एक वस्तु का अंकित मूल्य छूट के मूल्य का 140 प्रतिशत है। अंकित मूल्य विक्रय मूल्य का कितना प्रतिशत है?
(A) (a) 350%
(B) (b) 300%
(C) (c) 250%
(D) (d) 275%
✅ Answer & Explanation
Sahi jawab: A) (a) 350%Explanation: Method 1 (Ratio Method): Step 1: MP = 140% of Discount ==> MP / Discount = 140 / 100 = 7 / 5. MP = 7 units, Discount = 5 units. Step 2: Selling Price (SP) = MP - Discount = 7 - 5 = 2 units. Step 3: MP aur SP ka anupat: MP : SP = 7 : 2. Step 4: MP, SP ka pratishat = (MP / SP) * 100% = (7 / 2) * 100% = 350%. Atah sahi vikalp (a) 350% hai. Method 2 (100-Base Method): Step 1: Mana Discount = ₹100 ==> MP = ₹140. Step 2: SP = MP - Discount = 140 - 100 = ₹40. Step 3: (MP / SP) * 100% = (140 / 40) * 100% = (7 / 2) * 100% = 350%. Atah sahi uttar (a) hai.
If the selling price of an article is 90% of its marked price and the cost price is 80% of the marked price, what is the profit percentage?
यदि किसी वस्तु का विक्रय मूल्य उसके अंकित मूल्य का 90% है और क्रय मूल्य अंकित मूल्य का 80% है, तो लाभ प्रतिशत क्या है?
(A) (a) 10%
(B) (b) 12.5%
(C) (c) 15%
(D) (d) 20.5%
✅ Answer & Explanation
Sahi jawab: B) (b) 12.5%Explanation: Method 1 (Ratio Method): Step 1: Mana Marked Price (MP) = 100 units. SP = 90 units, CP = 80 units. Step 2: CP aur SP ka anupat banayein: CP : SP = 80 : 90 = 8 : 9. Step 3: Profit = 9 - 8 = 1 unit. Step 4: Profit% = (Profit / CP) * 100% = (1 / 8) * 100% = 12.5%. Atah sahi vikalp (b) 12.5% hai. Method 2 (100-Base Method): Step 1: MP = 100, CP = 80, SP = 90. Step 2: Labh = SP - CP = 90 - 80 = 10. Step 3: Profit% = (10 / 80) * 100% = (1 / 8) * 100% = 12.5%. Atah sahi uttar (b) hai.
A shopkeeper marks an article at ₹720 and gives a discount of ₹144. He earns a profit of ₹36. What is the cost price?
एक दुकानदार एक वस्तु पर ₹720 अंकित करता है और ₹144 की छूट देता है। वह ₹36 का लाभ अर्जित करता है। क्रय मूल्य क्या है?
(A) (a) ₹500
(B) (b) ₹520
(C) (c) ₹540
(D) (d) ₹560
✅ Answer & Explanation
Sahi jawab: C) (c) ₹540Explanation: Method 1 (Ratio Method): Step 1: Selling Price (SP) nikalein: SP = MP - Discount = 720 - 144 = ₹576. Step 2: Cost Price (CP) nikalein: CP = SP - Profit = 576 - 36 = ₹540. Step 3: Anupat roop me dekhein: CP : Profit = 540 : 36 = 15 : 1. Atah sahi vikalp (c) ₹540 hai. Method 2 (100-Base Method): Step 1: SP = 720 - 144 = ₹576. Step 2: CP = SP - Profit = 576 - 36 = ₹540. Atah sahi uttar (c) hai.
A shopkeeper announced 17% rebate on the marked price of an article. If the selling price of the article is ₹1,245, then the marked price (in ₹) of the article is :
एक दुकानदार ने एक वस्तु के अंकित मूल्य पर 17% छूट की घोषणा की। यदि वस्तु का विक्रय मूल्य ₹1,245 है, तो वस्तु का अंकित मूल्य (₹ में) है:
(A) (a) ₹1500
(B) (b) ₹1820
(C) (c) ₹1780
(D) (d) ₹1600
✅ Answer & Explanation
Sahi jawab: A) (a) ₹1500Explanation: Method 1 (Ratio Method): Step 1: 17% chhoot ==> MP : SP = 100 : (100 - 17) = 100 : 83. Step 2: Prashnanusar SP (83 units) = ₹1,245. 1 unit = 1245 / 83 = 15. Step 3: Marked Price (MP) = 100 units = 100 * 15 = ₹1,500. Atah sahi vikalp (a) ₹1500 hai. Method 2 (100-Base Method): Step 1: SP = (100 - 17)% = 83% of MP. Step 2: 83% = ₹1,245 ==> 1% = 1245 / 83 = 15. Step 3: MP (100%) = 100 * 15 = ₹1,500. Atah sahi uttar (a) hai.
The marked price of one pen is ₹x. The selling price of one packet of x pens after a discount of 15%, is ₹1,360. What is the value of 'x'?
एक पेन का अंकित मूल्य ₹x है। 15% की छूट के बाद x पेनों के एक पैकेट का विक्रय मूल्य ₹1,360 है। 'x' का मान क्या है?
(A) (a) 20
(B) (b) 40
(C) (c) 30
(D) (d) 45
✅ Answer & Explanation
Sahi jawab: B) (b) 40Explanation: Method 1 (Ratio Method): Step 1: x penon ka kul MP = x * x = x^2. Step 2: 15% discount (3/20) ke baad SP anupat: MP : SP = 20 : 17. 17 units = ₹1,360 ==> 1 unit = 1360 / 17 = 80. Step 3: Kul MP (20 units) = 20 * 80 = 1,600. Step 4: x^2 = 1600 ==> x = √1600 = 40. Atah sahi vikalp (b) 40 hai. Method 2 (100-Base Method): Step 1: Packet ka SP = 85% of Total MP = 0.85 * x^2. Step 2: 0.85 * x^2 = 1360. x^2 = 1360 / 0.85 = 136000 / 85 = 1600. Step 3: x = 40. Atah sahi uttar (b) hai.
A dealer sells a packet of cookies at ₹120 after giving a 25% discount on the marked price. If the profit earned is 20%, find the cost price.
एक डीलर अंकित मूल्य पर 25% की छूट देने के बाद कुकीज़ का एक पैकेट ₹120 पर बेचता है। यदि अर्जित लाभ 20% है, तो क्रय मूल्य ज्ञात कीजिए।
(A) (a) ₹96
(B) (b) ₹90
(C) (c) ₹100
(D) (d) ₹80
✅ Answer & Explanation
Sahi jawab: C) (c) ₹100Explanation: Method 1 (Ratio Method): Step 1: Vastu ka SP = ₹120 aur labh = 20% (1/5). CP : SP = 5 : 6. Step 2: Prashnanusar SP (6 units) = ₹120. 1 unit = 120 / 6 = 20. Step 3: Cost Price (CP) = 5 units = 5 * 20 = ₹100. (Note: Yahan CP nikalne ke liye MP ya 25% discount ki zaroorat nahi padti, sidha SP aur Profit% se hal ho jata hai). Atah sahi vikalp (c) ₹100 hai. Method 2 (100-Base Method): Step 1: SP = 120% of CP = ₹120. Step 2: CP = 120 / 1.20 = ₹100. Atah sahi uttar (c) hai.
A laptop is priced at ₹40,000. A customer gets a discount of ₹4,000 on it. After the discount, the customer buys a mouse for ₹1,500 at a 20% discount. What is the total amount the customer spends on both items?
एक लैपटॉप की कीमत ₹40,000 है। एक ग्राहक को इस पर ₹4,000 की छूट मिलती है। छूट के बाद, ग्राहक 20% की छूट पर ₹1,500 का माउस खरीदता है। ग्राहक दोनों वस्तुओं पर कुल कितनी राशि खर्च करता है?
(A) (a) ₹37,200
(B) (b) ₹37,500
(C) (c) ₹36,200
(D) (d) ₹36,500
✅ Answer & Explanation
Sahi jawab: A) (a) ₹37,200Explanation: Method 1 (Ratio Method): Step 1: Laptop par kharch = 40,000 - 4,000 = ₹36,000. Step 2: Mouse ka moolya = ₹1,500. 20% chhoot (1/5) ==> MP : SP = 5 : 4. 5 units = 1500 ==> 1 unit = 300 ==> Mouse ka SP = 4 * 300 = ₹1,200. Step 3: Dono vastuon par kul kharch = 36,000 + 1,200 = ₹37,200. Atah sahi vikalp (a) ₹37,200 hai. Method 2 (100-Base Method): Step 1: Laptop ka SP = 40,000 - 4,000 = ₹36,000. Step 2: Mouse ka SP = 1,500 * (1 - 0.20) = 1,500 * 0.80 = ₹1,200. Step 3: Kul bhugtan = 36,000 + 1,200 = ₹37,200. Atah sahi uttar (a) hai.
A shopkeeper offers a festival deal, "Flat ₹150 off on every purchase above ₹1000." What is the effective discount percentage if a buyer purchases an item marked ₹1200?
एक दुकानदार त्योहारी ऑफर देता है, "₹1000 से ऊपर की प्रत्येक खरीद पर ₹150 की सीधी छूट।" यदि कोई खरीदार ₹1200 अंकित मूल्य वाली वस्तु खरीदता है तो प्रभावी छूट प्रतिशत क्या है?
(A) (a) 12.5%
(B) (b) 15.5%
(C) (c) 10.25%
(D) (d) 11.25%
✅ Answer & Explanation
Sahi jawab: A) (a) 12.5%Explanation: Method 1 (Ratio Method): Step 1: MP = ₹1200, Chhoot (Discount) = ₹150. Step 2: Discount aur MP ka anupat banayein: Discount : MP = 150 : 1200 = 1 : 8. Step 3: Effective Discount% = (1 / 8) * 100% = 12.5%. Atah sahi vikalp (a) 12.5% hai. Method 2 (100-Base Method): Step 1: Discount% = (Chhoot / Ankit Mulya) * 100%. Step 2: Discount% = (150 / 1200) * 100% = 150 / 12% = 12.5%. Atah sahi uttar (a) hai.
The value of discount given on an article is (2/17) of the marked price. What is the ratio of the value of discount to the selling price?
किसी वस्तु पर दी गई छूट का मान अंकित मूल्य का (2/17) है। छूट के मान का विक्रय मूल्य से अनुपात क्या है?
(A) (a) 15 : 17
(B) (b) 2 : 19
(C) (c) 2 : 15
(D) (d) 15 : 19
✅ Answer & Explanation
Sahi jawab: C) (c) 2 : 15Explanation: Method 1 (Ratio Method): Step 1: Prashnanusar: Discount = (2/17) * MP ==> Discount / MP = 2 / 17. Discount = 2 units, MP = 17 units. Step 2: Selling Price (SP) = MP - Discount = 17 - 2 = 15 units. Step 3: Discount aur SP ka anupat = Discount : SP = 2 : 15. Atah sahi vikalp (c) 2 : 15 hai. Method 2 (100-Base Method): Step 1: Mana MP = 170. Discount = (2/17) * 170 = 20. Step 2: SP = 170 - 20 = 150. Step 3: Ratio = 20 : 150 = 2 : 15. Atah sahi uttar (c) hai.
On the occasion of Republic Day, a retail store offers a scheme where customers can avail a discount of 26% on their total purchase. If Manish buys items worth Rs.2,050, how much money (in) will he save through the scheme discount?
गणतंत्र दिवस के अवसर पर, एक खुदरा स्टोर एक योजना प्रस्तुत करता है जहां ग्राहक अपनी कुल खरीद पर 26% की छूट प्राप्त कर सकते हैं। यदि मनीष ₹2,050 की वस्तुएं खरीदता है, तो वह योजना छूट के माध्यम से कितने पैसे (₹ में) बचाएगा?
(A) (a) ₹533
(B) (b) ₹544
(C) (c) ₹522
(D) (d) ₹511
✅ Answer & Explanation
Sahi jawab: A) (a) ₹533Explanation: Method 1 (Ratio Method): Step 1: 26% discount = 26/100 = 13/50. Bachat (Discount) : Kul Moolya = 13 : 50. Step 2: Kul moolya (50 units) = ₹2,050. 1 unit = 2050 / 50 = 41. Step 3: Bachat (13 units) = 13 * 41 = ₹533. Atah sahi vikalp (a) ₹533 hai. Method 2 (100-Base Method): Step 1: Bachat = 26% of 2050. Step 2: Bachat = (26 / 100) * 2050 = 26 * 20.5 = ₹533. Atah sahi uttar (a) hai.
A product marked at ₹1800 is sold with a 10% discount and then taxed with 18% GST. What is the amount of GST charged?
₹1800 अंकित एक उत्पाद 10% की छूट के साथ बेचा जाता है और फिर 18% GST लगाया जाता है। लगाए गए GST की राशि क्या है?
(A) (a) ₹250.2
(B) (b) ₹280.8
(C) (c) ₹291.6
(D) (d) ₹324.0
✅ Answer & Explanation
Sahi jawab: C) (c) ₹291.6Explanation: Method 1 (Ratio Method): Step 1: 10% discount ke baad kar-yogya moolya (Taxable value/SP): 10% discount (1/10) ==> MP : SP = 10 : 9. 10 units = ₹1800 ==> 1 unit = 180 ==> SP = 9 * 180 = ₹1,620. Step 2: GST 18% lagta hai (18% = 9/50): GST amount = 1620 * (18 / 100) = 16.2 * 18 = ₹291.60. Atah sahi vikalp (c) ₹291.6 hai. Method 2 (100-Base Method): Step 1: Chhoot ke baad mulya = 1800 * 0.90 = ₹1,620. Step 2: GST rashi = 18% of 1620 = 0.18 * 1620 = ₹291.60. Atah sahi uttar (c) hai.
A shopkeeper has announced a 25% rebate on the prices of stationery items. If anyone needs to have a rebate of ₹40, then how many stationery items costing ₹32 should be purchased?
एक दुकानदार ने स्टेशनरी वस्तुओं की कीमतों पर 25% छूट की घोषणा की है। यदि किसी को ₹40 की छूट प्राप्त करनी है, तो ₹32 लागत वाली कितनी स्टेशनरी वस्तुएं खरीदी जानी चाहिए?
(A) (a) 5 items
(B) (b) 6 items
(C) (c) 4 items
(D) (d) 3 items
✅ Answer & Explanation
Sahi jawab: A) (a) 5 itemsExplanation: Method 1 (Ratio Method): Step 1: 1 vastu ka moolya = ₹32. Chhoot = 25% = 1/4. 1 vastu par chhoot = 32 * (1/4) = ₹8. Step 2: Chhoot aur vastuo ki sankhya ka anupat: 1 vastu : ₹8 chhoot. Step 3: ₹40 ki chhoot ke liye aavashyak vastuyein = 40 / 8 = 5 items. Atah sahi vikalp (a) 5 items hai. Method 2 (100-Base Method): Step 1: Kul aavashyak kharid rashi jis par 25% chhoot = ₹40 ho: 25% of Kul Rashi = 40 ==> Kul Rashi = 40 / 0.25 = ₹160. Step 2: Vastuo ki sankhya = Kul Rashi / 1 vastu ka moolya = 160 / 32 = 5 items. Atah sahi uttar (a) hai.
In a scheme, a shopkeeper offers a 10% discount if you buy two or more books. Kiran buys two books for ₹540. If the shopkeeper still makes a 20% profit, find the profit he would make if he sold the books without the discount.
एक योजना में, यदि आप दो या दो से अधिक पुस्तकें खरीदते हैं तो एक दुकानदार 10% की छूट प्रदान करता है। किरण ₹540 में दो पुस्तकें खरीदती है। यदि दुकानदार फिर भी 20% का लाभ कमाता है, तो बिना छूट के पुस्तकें बेचने पर उसे कितना लाभ होता?
(A) (a) ₹120
(B) (b) ₹150
(C) (c) ₹180
(D) (d) ₹200
✅ Answer & Explanation
Sahi jawab: B) (b) ₹150Explanation: Method 1 (Ratio Method): Step 1: 10% discount ke baad becha gaya moolya SP = ₹540. 10% discount (1/10) ==> MP : SP = 10 : 9. 9 units = ₹540 ==> 1 unit = 60 ==> MP = 10 * 60 = ₹600. Step 2: Dukandar 20% labh kamata hai (20% = 1/5) ==> CP : SP = 5 : 6. 6 units = ₹540 ==> 1 unit = 90 ==> CP = 5 * 90 = ₹450. Step 3: Bina chhoot ke bechne par naya SP = MP = ₹600. Naya Labh = MP - CP = 600 - 450 = ₹150. Atah sahi vikalp (b) ₹150 hai. Method 2 (100-Base Method): Step 1: MP = 540 / 0.90 = ₹600. Step 2: CP = 540 / 1.20 = ₹450. Step 3: Bina discount ke bechne par Profit = MP - CP = 600 - 450 = ₹150. Atah sahi uttar (b) hai.
A seller marks up his goods at 40% over the cost price. If the difference between the profits if he allows a 15% discount on the marked price and if he allows a discount of 20% on the marked price is ₹94.85, find the cost price (in ₹).
एक विक्रेता अपने माल पर क्रय मूल्य से 40% अधिक मूल्य अंकित करता है। यदि अंकित मूल्य पर 15% की छूट देने पर और अंकित मूल्य पर 20% की छूट देने पर होने वाले लाभों के बीच का अंतर ₹94.85 है, तो क्रय मूल्य (₹ में) ज्ञात कीजिए।
(A) (a) ₹1,355
(B) (b) ₹1,345
(C) (c) ₹1,365
(D) (d) ₹1,375
✅ Answer & Explanation
Sahi jawab: A) (a) ₹1,355Explanation: Method 1 (Ratio Method): Step 1: CP aur MP ka anupat: 40% markup (2/5) ==> CP : MP = 100 : 140. Step 2: Chhoot ka antar = 20% - 15% = 5% of MP. Chunki CP dono sthitiyo me saman hai, atah labho ka antar = chhoot ka antar. 5% of MP = ₹94.85 ==> MP = 94.85 / 0.05 = 94.85 * 20 = ₹1,897. Step 3: CP : MP = 100 : 140 = 5 : 7. 7 units = 1897 ==> 1 unit = 1897 / 7 = 271. CP (5 units) = 5 * 271 = ₹1,355. Atah sahi vikalp (a) ₹1,355 hai. Method 2 (100-Base Method): Step 1: Mana CP = 100% ==> MP = 140%. Step 2: Labh ka antar = MP par (20% - 15%) discount ka antar = 5% of MP. 5% of 140% of CP = 0.05 * 1.40 * CP = 0.07 * CP = 7% of CP. Step 3: 7% of CP = ₹94.85. 1% of CP = 94.85 / 7 = 13.55. Step 4: CP (100%) = 100 * 13.55 = ₹1,355. Atah sahi uttar (a) hai.
A person bought a cycle at a discount of 20% on the marked price. He spent ₹400 on repairs and sold it for ₹4,800, gaining 25%. What was the marked price?
एक व्यक्ति ने अंकित मूल्य पर 20% की छूट पर एक साइकिल खरीदी। उसने मरम्मत पर ₹400 खर्च किए और इसे ₹4,800 में बेचकर 25% का लाभ कमाया। अंकित मूल्य क्या था?
(A) (a) ₹5,500
(B) (b) ₹6,000
(C) (c) ₹5,600
(D) (d) ₹4,300
✅ Answer & Explanation
Sahi jawab: A) (a) ₹5,500Explanation: Method 1 (Ratio Method): Step 1: 25% profit = 1/4 ==> Total CP : SP = 4 : 5. 5 units = ₹4,800 ==> 1 unit = 4800 / 5 = ₹960. Total CP = 4 * 960 = ₹3,840. Step 2: Repairs par ₹400 kharch huye the, isliye kharid mulya (Purchase Price) = 3840 - 400 = ₹3,440. Step 3: Cycle 20% discount (1/5) par kharidi gayi thi ==> MP : Purchase Price = 5 : 4. 4 units = ₹3,440 ==> 1 unit = 3440 / 4 = ₹860. Marked Price (MP) = 5 units = 5 * 860 = ₹4,300. Atah sahi vikalp (d) ₹4,300 hai. Method 2 (100-Base Method): Step 1: Total CP = 4,800 / 1.25 = ₹3,840. Step 2: Purchase Price = 3,840 - 400 = ₹3,440. Step 3: 80% of MP = ₹3,440 ==> MP = 3440 / 0.80 = ₹4,300. Atah sahi uttar (d) hai.
A shopkeeper sells an article at a discount of 12%. Had he given only a 5% discount, he would have earned ₹504 more as profit. If the cost price of the article is ₹3000, then find the marked price?
एक दुकानदार एक वस्तु को 12% की छूट पर बेचता है। यदि उसने केवल 5% की छूट दी होती, तो उसे लाभ के रूप में ₹504 अधिक प्राप्त होते। यदि वस्तु का क्रय मूल्य ₹3000 है, तो अंकित मूल्य ज्ञात कीजिए?
(A) (a) ₹7200
(B) (b) ₹6800
(C) (c) ₹6500
(D) (d) ₹7500
✅ Answer & Explanation
Sahi jawab: A) (a) ₹7200Explanation: Method 1 (Ratio Method): Step 1: Discount me antar = 12% - 5% = 7% of MP. Chunki CP dono sthitiyo me saman hai, isliye labh ka antar = chhoot ka antar. Step 2: 7% of MP = ₹504. 7/100 of MP = 504 ==> 1 unit = 504 / 7 = 72. Step 3: Marked Price (MP) = 100 units = 100 * 72 = ₹7,200. Atah sahi vikalp (a) ₹7200 hai. Method 2 (100-Base Method): Step 1: Labh me vriddhi = MP par bachi hui chhoot = (12% - 5%) of MP = 7% of MP. Step 2: 7% of MP = ₹504 ==> 1% of MP = 72. Step 3: MP (100%) = 100 * 72 = ₹7,200. Atah sahi uttar (a) hai.
After deducting 25% from the marked price, the item's selling price is ₹7200. If the discount is raised to 30%, what will the selling price be?
अंकित मूल्य से 25% घटाने के बाद, वस्तु का विक्रय मूल्य ₹7200 है। यदि छूट बढ़ाकर 30% कर दी जाए, तो विक्रय मूल्य क्या होगा?
(A) (a) ₹6720
(B) (b) ₹6500
(C) (c) ₹6000
(D) (d) ₹5500
✅ Answer & Explanation
Sahi jawab: A) (a) ₹6720Explanation: Method 1 (Ratio Method): Step 1: Pehla SP1 = 100% - 25% = 75% of MP. Naya SP2 = 100% - 30% = 70% of MP. Step 2: SP1 aur SP2 ka anupat banayein: SP1 : SP2 = 75 : 70 = 15 : 14. Step 3: Prashnanusar SP1 (15 units) = ₹7,200. 1 unit = 7200 / 15 = 480. Step 4: Naya SP2 (14 units) = 14 * 480 = ₹6,720. Atah sahi vikalp (a) ₹6720 hai. Method 2 (100-Base Method): Step 1: MP = 7200 / 0.75 = ₹9,600. Step 2: 30% chhoot par Naya SP = 9600 * (1 - 0.30) = 9600 * 0.70 = ₹6,720. Atah sahi uttar (a) hai.
Profit of Ravindra while selling a book to Meeta is ₹68. Despite a discount of 15% on the book, Ravindra managed to get a 10% profit. What must be the list price of the book?
मीता को एक किताब बेचते समय रवींद्र का लाभ ₹68 है। किताब पर 15% की छूट के बावजूद, रवींद्र 10% लाभ प्राप्त करने में सफल रहा। किताब का सूची मूल्य (अंकित मूल्य) क्या होना चाहिए?
(A) (a) ₹800
(B) (b) ₹880
(C) (c) ₹850
(D) (d) ₹920
✅ Answer & Explanation
Sahi jawab: B) (b) ₹880Explanation: Method 1 (Ratio Method): Step 1: CP aur MP ka sambandh sutra: CP / MP = (100 - Discount%) / (100 + Profit%). CP / MP = (100 - 15) / (100 + 10) = 85 / 110 = 17 / 22. Step 2: 10% labh CP par hota hai: Profit = 10% of CP = 10% of 17 units = 1.7 units. Step 3: Prashnanusar 1.7 units = ₹68 ==> 1 unit = 68 / 1.7 = 40. Step 4: List Price (MP) = 22 units = 22 * 40 = ₹880. Atah sahi vikalp (b) ₹880 hai. Method 2 (100-Base Method): Step 1: Labh = 10% of CP = ₹68 ==> CP = 68 / 0.10 = ₹680. Step 2: SP = CP + Profit = 680 + 68 = ₹748. Step 3: SP = 85% of List Price ==> List Price = 748 / 0.85 = 74800 / 85 = ₹880. Atah sahi uttar (b) hai.