Mathematics: Discount Buy1Get1 Mock Test – Free Online Practice

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Practice Questions (11 of 11)

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1. A combo offer says, "Buy 2 shirts at ₹1200 each, get a third shirt free." What is the effective price per shirt?
   एक कॉम्बो ऑफर कहता है, "₹1200 प्रत्येक पर 2 शर्ट खरीदें, तीसरी शर्ट मुफ्त पाएं।" प्रति शर्ट प्रभावी मूल्य क्या है?
   (A) (a) ₹850

   (B) (b) ₹800

   (C) (c) ₹1000

   (D) (d) ₹900
   ✅ Answer & Explanation

   Sahi jawab: B) (b) ₹800

   Explanation: Method 1 (Ratio Method): Step 1: Grahak kul 3 shirts prapt karta hai (2 kharidi + 1 muft). Step 2: Grahak dwara bhugtan ki gayi kul rashi = 2 * ₹1200 = ₹2400. Step 3: Kul rashi aur shirts ki sankhya ka anupat: Effective SP per shirt = 2400 / 3 = ₹800. Atah sahi vikalp (b) ₹800 hai. Method 2 (100-Base Method): Step 1: 3 shirts ka kul ankit moolya = 3 * 1200 = ₹3600. Step 2: 1 shirt muft milne par chhoot = ₹1200. Discount% = (1200 / 3600) * 100% = 33.33%. Step 3: Effective price per shirt = 1200 * (1 - 1/3) = ₹800. Atah sahi uttar (b) hai.
2. A shopkeeper offers a 'Buy 3, Get 1 Free' scheme. What is the equivalent single discount percentage?
   एक दुकानदार '3 खरीदें, 1 मुफ्त पाएं' योजना की पेशकश करता है। समतुल्य एकल छूट प्रतिशत क्या है?
   (A) (a) 25%

   (B) (b) 20%

   (C) (c) 40%

   (D) (d) 35%
   ✅ Answer & Explanation

   Sahi jawab: A) (a) 25%

   Explanation: Method 1 (Ratio Method): Step 1: Sutra: Discount% = [Muft vastuyein / (Kharidi gayi + Muft vastuyein)] * 100%. Step 2: Muft = 1, Kul = 3 + 1 = 4 units. Discount ratio = 1 / 4. Step 3: Discount% = (1 / 4) * 100% = 25%. Atah sahi vikalp (a) 25% hai. Method 2 (100-Base Method): Step 1: Mana 1 vastu ka MP = ₹100. Kul 4 vastuo ka MP = ₹400. Step 2: Grahak keval 3 vastuo ka bhugtan karta hai = ₹300. Step 3: Chhoot = 400 - 300 = ₹100. Discount% = (100 / 400) * 100% = 25%. Atah sahi uttar (a) hai.
3. Murlidhar, the owner of a grocery store, offers a discount scheme 'buy 5 water bottles get 1 for free' to his customers. What is the effective percentage discount offered by Murlidhar? (correct up to two decimal places)
   किराना दुकान के मालिक मुरलीधर अपने ग्राहकों को '5 पानी की बोतलें खरीदें 1 मुफ्त पाएं' छूट योजना की पेशकश करते हैं। मुरलीधर द्वारा दी जाने वाली प्रभावी प्रतिशत छूट क्या है? (दो दशमलव स्थानों तक सही)
   (A) (a) 13.67%

   (B) (b) 20.00%

   (C) (c) 13.33%

   (D) (d) 16.67%
   ✅ Answer & Explanation

   Sahi jawab: D) (d) 16.67%

   Explanation: Method 1 (Ratio Method): Step 1: Muft botlein = 1, Kul di gayi botlein = 5 + 1 = 6 units. Step 2: Discount ratio = 1 / 6. Step 3: Discount% = (1 / 6) * 100% = 16.666...% ≈ 16.67%. Atah sahi vikalp (d) 16.67% hai. Method 2 (100-Base Method): Step 1: Mana pratyek bottle ka MP = ₹10. 6 botlo ka MP = ₹60. Step 2: Grahak ne chukaye (5 botlo ke) = ₹50. Step 3: Chhoot = 60 - 50 = ₹10. Discount% = (10 / 60) * 100% = 16.67%. Atah sahi uttar (d) hai.
4. A store advertises, "Buy items worth ₹3000, get ₹500 off instantly." What is the effective discount percentage?
   एक स्टोर विज्ञापन देता है, "₹3000 का सामान खरीदें, तुरंत ₹500 की छूट पाएं।" प्रभावी छूट प्रतिशत क्या है?
   (A) (a) 16.67%

   (B) (b) 15.67%

   (C) (c) 14.67%

   (D) (d) 13.67%
   ✅ Answer & Explanation

   Sahi jawab: A) (a) 16.67%

   Explanation: Method 1 (Ratio Method): Step 1: MP = ₹3000, Discount = ₹500. Step 2: Discount aur MP ka anupat = 500 : 3000 = 1 : 6. Step 3: Discount% = (1 / 6) * 100% = 16.666...% ≈ 16.67%. Atah sahi vikalp (a) 16.67% hai. Method 2 (100-Base Method): Step 1: Discount% = (Chhoot / Kul kharid moolya) * 100%. Step 2: Discount% = (500 / 3000) * 100% = 50 / 3% ≈ 16.67%. Atah sahi uttar (a) hai.
5. During a new-year sale, a shopkeeper offers a discount scheme to his customers, 'Buy 5 Sweaters, Get 2 Sweaters Free'. Find the effective percentage discount given by the shopkeeper.
   नए साल की बिक्री के दौरान, एक दुकानदार अपने ग्राहकों को '5 स्वेटर खरीदें, 2 स्वेटर मुफ्त पाएं' छूट योजना की पेशकश करता है। दुकानदार द्वारा दी जाने वाली प्रभावी प्रतिशत छूट ज्ञात कीजिए।
   (A) (a) 28\frac{4}{7}%

   (B) (b) 25%

   (C) (c) 22\frac{2}{9}%

   (D) (d) 21%
   ✅ Answer & Explanation

   Sahi jawab: A) (a) 28\frac{4}{7}%

   Explanation: Method 1 (Ratio Method): Step 1: Muft sweatero ki sankhya = 2. Kul sweatero ki sankhya = 5 + 2 = 7 units. Step 2: Discount ratio = 2 / 7. Step 3: Discount% = (2 / 7) * 100% = 200 / 7% = 28\frac{4}{7}%. Atah sahi vikalp (a) 28 4/7% hai. Method 2 (100-Base Method): Step 1: Mana 1 sweater ka MP = ₹100. 7 sweatero ka kul MP = ₹700. Step 2: Grahak dwara bhugtan ki gayi rashi (5 sweaters) = ₹500. Step 3: Chhoot = 700 - 500 = ₹200. Discount% = (200 / 700) * 100% = 28\frac{4}{7}%. Atah sahi uttar (a) hai.
6. On buying 24 bangles Meena gets 6 bangles free of cost. By what percentage does Meena get a discount?
   24 चूड़ियाँ खरीदने पर मीना को 6 चूड़ियाँ मुफ्त मिलती हैं। मीना को कितने प्रतिशत की छूट मिलती है?
   (A) (a) 15%

   (B) (b) 5%

   (C) (c) 20%

   (D) (d) 10%
   ✅ Answer & Explanation

   Sahi jawab: C) (c) 20%

   Explanation: Method 1 (Ratio Method): Step 1: Muft choodiyan = 6, Kul di gayi choodiyan = 24 + 6 = 30 units. Step 2: Discount ratio = 6 / 30 = 1 / 5. Step 3: Discount% = (1 / 5) * 100% = 20%. Atah sahi vikalp (c) 20% hai. Method 2 (100-Base Method): Step 1: Mana 1 choori ka MP = ₹1. 30 choodiyon ka kul MP = ₹30. Step 2: Bhugtan kiya gaya (24 choodiyon ke liye) = ₹24. Step 3: Chhoot = 30 - 24 = ₹6. Discount% = (6 / 30) * 100% = 20%. Atah sahi uttar (c) hai.
7. To clear the old stock, Arshad offers a discount scheme to his customers - on buying 24 glass tumblers get 12 glass tumblers free. What is the effective percentage discount given by Arshad to his customers?
   पुराने स्टॉक को खाली करने के लिए, अरशद अपने ग्राहकों को एक छूट योजना की पेशकश करता है - 24 ग्लास टम्बलर खरीदने पर 12 ग्लास टम्बलर मुफ्त मिलते हैं। अरशद द्वारा अपने ग्राहकों को दी जाने वाली प्रभावी प्रतिशत छूट क्या है?
   (A) (a) 32\frac{2}{3}%

   (B) (b) 30\frac{1}{3}%

   (C) (c) 34\frac{2}{3}%

   (D) (d) 33\frac{1}{3}%
   ✅ Answer & Explanation

   Sahi jawab: D) (d) 33\frac{1}{3}%

   Explanation: Method 1 (Ratio Method): Step 1: Muft tumblers = 12, Kul tumblers = 24 + 12 = 36 units. Step 2: Discount ratio = 12 / 36 = 1 / 3. Step 3: Discount% = (1 / 3) * 100% = 33\frac{1}{3}%. Atah sahi vikalp (d) 33 1/3% hai. Method 2 (100-Base Method): Step 1: Mana 1 tumbler ka MP = ₹10. 36 tumblers ka MP = ₹360. Step 2: Grahak chukata hai = 24 * 10 = ₹240. Step 3: Chhoot = 360 - 240 = ₹120. Discount% = (120 / 360) * 100% = 33\frac{1}{3}%. Atah sahi uttar (d) hai.
8. What is the effective discount percentage if a shopkeeper offers a scheme discount 'buy five and get one free'?
   यदि कोई दुकानदार 'पांच खरीदें और एक मुफ्त पाएं' छूट योजना की पेशकश करता है तो प्रभावी छूट प्रतिशत क्या है?
   (A) (a) 16.33%

   (B) (b) 16.67%

   (C) (c) 15.33%

   (D) (d) 15.67%
   ✅ Answer & Explanation

   Sahi jawab: B) (b) 16.67%

   Explanation: Method 1 (Ratio Method): Step 1: Muft vastu = 1, Kul vastuyein = 5 + 1 = 6 units. Step 2: Discount ratio = 1 / 6. Step 3: Discount% = (1 / 6) * 100% = 16.666...% ≈ 16.67%. Atah sahi vikalp (b) 16.67% hai. Method 2 (100-Base Method): Step 1: Mana 1 vastu ka MP = ₹100. 6 vastuon ka MP = ₹600. Step 2: SP (5 vastuon ka) = ₹500. Step 3: Chhoot = ₹100 ==> Discount% = (100 / 600) * 100% ≈ 16.67%. Atah sahi uttar (b) hai.
9. A shopkeeper offers the following two discount schemes. A. Buy 3 get 4 free B. Buy 5 get 6 free Which scheme has the maximum discount percentage?
   एक दुकानदार निम्नलिखित दो छूट योजनाओं की पेशकश करता है। A. 3 खरीदें 4 मुफ्त पाएं B. 5 खरीदें 6 मुफ्त पाएं किस योजना में अधिकतम छूट प्रतिशत है?
   (A) (a) A

   (B) (b) A does not give any discount

   (C) (c) A and B both have the same discount percentage

   (D) (d) B
   ✅ Answer & Explanation

   Sahi jawab: A) (a) A

   Explanation: Method 1 (Ratio Method): Step 1: Scheme A me Discount% nikalein: Muft = 4, Kul = 3 + 4 = 7 units. Discount% (A) = (4 / 7) * 100% = 57.14%. Step 2: Scheme B me Discount% nikalein: Muft = 6, Kul = 5 + 6 = 11 units. Discount% (B) = (6 / 11) * 100% = 54.54%. Step 3: Tulna karein: 57.14% > 54.54%. Scheme A me chhoot adhiktam hai. Atah sahi vikalp (a) A hai. Method 2 (Fraction Cross-Multiplication Method): Step 1: Scheme A fraction = 4/7. Step 2: Scheme B fraction = 6/11. Step 3: Cross multiply: 4 * 11 = 44 aur 7 * 6 = 42. Chunki 44 > 42, isliye 4/7 > 6/11. Atah Scheme A me adhiktam discount hai. Sahi uttar (a) hai.
10. A sweet shop owner buys 10 boxes of sweets for the price of 8 boxes from a wholesaler. If he sells each box at a 2% discount on its marked price, what is his profit percentage?
    एक मिठाई की दुकान का मालिक एक थोक व्यापारी से 8 बक्सों की कीमत पर 10 बक्से मिठाई खरीदता है। यदि वह प्रत्येक बक्से को उसके अंकित मूल्य पर 2% की छूट पर बेचता है, तो उसका लाभ प्रतिशत क्या है?
    (A) (a) 20%

    (B) (b) 24.36%

    (C) (c) 22.5%

    (D) (d) 25.86%
    ✅ Answer & Explanation

    Sahi jawab: C) (c) 22.5%

    Explanation: Method 1 (Ratio Method): Step 1: Mana 1 box ka marked price (MP) = ₹100. 10 boxes ka MP = 10 * 100 = ₹1000. Step 2: Usne 10 boxes 8 boxes ke MP par kharide ==> Dukandar ka Kul CP = 8 * 100 = ₹800. Step 3: Usne pratyek box ko 2% chhoot par becha ==> 1 box ka SP = 100 - 2 = ₹98. 10 boxes ka Kul SP = 10 * 98 = ₹980. Step 4: CP : SP = 800 : 980 = 40 : 49. Labh = 49 - 40 = 9 units. Step 5: Profit% = (9 / 40) * 100% = 90 / 4% = 22.5%. Atah sahi vikalp (c) 22.5% hai. Method 2 (100-Base Method): Step 1: CP per box = (8 * 100) / 10 = ₹80. Step 2: SP per box = 100 * 0.98 = ₹98. Step 3: Profit per box = 98 - 80 = ₹18. Step 4: Profit% = (18 / 80) * 100% = (9 / 40) * 100% = 22.5%. Atah sahi uttar (c) hai.
11. A bookshop advertises: "Buy 4 books and get the 5th at 50% discount." If the marked price of each book is ₹480 and all books are priced the same, what is the effective percentage discount the customer receives on the total purchase?
    एक किताबों की दुकान विज्ञापन देती है: "4 किताबें खरीदें और 5वीं किताब 50% छूट पर पाएं।" यदि प्रत्येक किताब का अंकित मूल्य ₹480 है और सभी किताबों की कीमत समान है, तो कुल खरीद पर ग्राहक को मिलने वाली प्रभावी प्रतिशत छूट क्या है?
    (A) (a) 10%

    (B) (b) 12.5%

    (C) (c) 15%

    (D) (d) 20%
    ✅ Answer & Explanation

    Sahi jawab: A) (a) 10%

    Explanation: Method 1 (Ratio Method): Step 1: Kul 5 kitabein li jaati hain. Pratyek ka MP = 1 unit (ya ₹480). 5 kitabo ka kul MP = 5 units. Step 2: Chhoot keval 5vin kitab par 50% hai ==> Kul chhoot = 0.5 unit. Step 3: Discount ratio = 0.5 / 5 = 1 / 10. Step 4: Effective Discount% = (1 / 10) * 100% = 10%. Atah sahi vikalp (a) 10% hai. Method 2 (100-Base Method): Step 1: Kul MP = 5 * 480 = ₹2400. Step 2: 4 kitabo ki keemat = 4 * 480 = ₹1920. 5vin kitab ki keemat (50% chhoot) = 480 * 0.50 = ₹240. Kul bhugtan (SP) = 1920 + 240 = ₹2160. Step 3: Kul chhoot = 2400 - 2160 = ₹240. Step 4: Discount% = (240 / 2400) * 100% = 10%. Atah sahi uttar (a) hai.

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