Practice Questions
Concept Explanation
Discount is a reduction on the marked price. It is always calculated on MP unless stated otherwise.
- Discount = MP − SP
- Discount% = (Discount / MP) × 100
- SP = MP × (100 − d) / 100
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Q1 EasyAn article is marked at Rs. 1000. After allowing a discount of 10%, it is sold for Rs. 900. The discount amount is:ExplanationDiscount = MP − SP = 1000 − 900 = Rs. 100. Alternatively, 10% of Rs. 1000 = Rs. 100.
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Q2 EasyIf the marked price of an article is Rs. 800 and discount is 15%, the selling price is:ExplanationSP = MP × (100 − 15)/100 = 800 × 0.85 = Rs. 680.
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Q3 EasyThe list price of a frock is Rs. 400. A discount of 20% is announced on sales. What is the amount of discount on it and its selling price?ExplanationDiscount = 20% of 400 = Rs. 80. Selling price = 400 − 80 = Rs. 320.
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Q4 EasyThe marked price of a jacket in a retail store is Rs. 1,200. If the store offers a flat discount of 25% during a clearance sale, what is the discount amount deducted from the marked price?ExplanationDiscount amount = 25% of Rs. 1,200 = 0.25 × 1200 = Rs. 300.
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Q5 EasyAfter a discount is applied, a customer pays only 85% of the marked price of an article. What is the percentage discount allowed on the marked price?ExplanationCustomer pays 85% of MP, so discount = 100% − 85% = 15%.
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Q6 EasyThe marked price of a dining table is Rs. 1,400. After a discount, it is sold for Rs. 1,190. What is the discount amount on the marked price?ExplanationDiscount amount = MP − SP = 1400 − 1190 = Rs. 210.
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Q7 MediumA shopkeeper allows a discount of 10% on the marked price. How much above the cost price must he mark his goods so as to gain 8%?ExplanationSP = 1.08 × CP and SP = 0.90 × MP. So MP/CP = 1.08/0.90 = 1.20. Required markup on CP = 20%.
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Q8 MediumA trader marks his goods 30% above cost price and allows a discount of 20%. His gain percent is:ExplanationSP = CP × 1.30 × 0.80 = 1.04 × CP. Gain% on CP = 4%.
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Q9 MediumAn electronic gadget was sold for Rs. 640 after a discount of 20% was allowed on its marked price. What was the original marked price of the gadget?ExplanationSP = MP × 0.80. So MP = 640/0.80 = Rs. 800.
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Q10 MediumA book is marked at Rs. 960 and is sold to a customer for Rs. 816 after a discount. What is the rate of discount offered on the marked price?ExplanationDiscount = 960 − 816 = Rs. 144. Discount% = (144/960) × 100 = 15%.
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Q11 MediumDuring a festival offer, a shopkeeper allows an 18% discount on all items. If the marked price of a decorative lamp is Rs. 500, what price will the customer pay after the discount?ExplanationSP = 500 × (100 − 18)/100 = 500 × 0.82 = Rs. 410.
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Q12 MediumAn article has a marked price of Rs. 2,500 and is sold after a discount of Rs. 375. What is the percentage discount given on the marked price?ExplanationDiscount% = (375/2500) × 100 = 15%.
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Q13 MediumA showroom offers a 30% discount on a sofa set, and the customer pays Rs. 560 after the reduction. What was the marked price of the sofa set before the discount?ExplanationSP = MP × 0.70. So MP = 560/0.70 = Rs. 800.
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Q14 HardAfter allowing a discount of 15%, a dealer wants to gain 20%. What percent above the cost price must he mark his goods?ExplanationSP = 1.20 × CP. Also SP = MP × 0.85. So MP = 1.20/0.85 × CP = 24/17 × CP. Markup% = (7/17) × 100 = 41 2/11%.
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DS1 Easy
In a campus placement practice module on retail pricing, candidates must find the final selling price of an article after a store discount. What is the selling price after discount?
Statement IThe marked price of the article is Rs. 1,000.
Statement IIA discount of 12% is allowed on the marked price.
ExplanationSP = MP × (100 − d)/100 = 1000 × 0.88 = Rs. 880. Both the marked price and discount rate are needed. -
DS2 Medium
Trainees are asked to determine the discount percentage on a marked article. What is the discount percentage on the marked price?
Statement IThe marked price of the article is Rs. 800 and it is sold for Rs. 680.
Statement IIThe discount amount on the marked price is Rs. 120.
ExplanationStatement I: Discount% = (800 − 680)/800 × 100 = 15%. Statement II confirms the amount but does not alone give the percentage without MP.
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DS3 Medium
A retail analytics worksheet asks for the original marked price before any seasonal reduction. What is the marked price of the article?
Statement IAfter allowing a discount of 25% on the marked price, the article is sold for Rs. 900.
Statement IIThe discount amount deducted from the marked price is Rs. 300.
ExplanationStatement I: MP = 900/0.75 = Rs. 1,200. Statement II: MP = 900 + 300 = Rs. 1,200. Each statement alone is sufficient. -
DS4 Hard
An e-commerce pricing review asks whether the discount on a product exceeds Rs. 200. Is the discount amount on the marked price greater than Rs. 200?
Statement IThe marked price of the product is Rs. 1,500.
Statement IIThe discount rate offered on the marked price is 18%.
ExplanationTogether: Discount = 18% of 1500 = Rs. 270, which is greater than Rs. 200. Neither statement alone gives both MP and rate.