Practice Questions
Concept Explanation
Final selling price after discount is always computed on marked price:
SP = MP × (100 − discount%) / 100
In multi-step problems, first find MP from CP and markup, then apply discount.
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Q1 EasyAn article is marked at Rs. 2400. After allowing a discount of 15%, it is sold for Rs. 2040. The marked price discount percent is:ExplanationDiscount = 2,400 − 2,040 = Rs. 360. Discount% = (360/2,400) × 100 = 15%.
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Q2 EasyA shirt marked at Rs. 800 is sold after a discount of 12.5%. What is the selling price?ExplanationSP = 800 × (100 − 12.5)/100 = 800 × 0.875 = Rs. 700.
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Q3 EasyAn article with marked price Rs. 1,500 is sold at a discount of 20%. What is the selling price?ExplanationSP = 1,500 × 0.80 = Rs. 1,200.
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Q4 EasyA garment is marked at Rs. 2,500 and sold after a flat 20% discount. What is the selling price?ExplanationSP = 2,500 × 0.80 = Rs. 2,000.
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Q5 EasyA book marked at Rs. 360 is sold at a 15% discount. Find the selling price.ExplanationSP = 360 × 0.85 = Rs. 306.
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Q6 EasyThe marked price of an article is Rs. 950. If a discount of 20% is allowed, how much does the customer save compared with the marked price?ExplanationDiscount amount = 950 × 0.20 = Rs. 190.
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Q7 MediumAfter successive discounts of 10% and 5%, the selling price of an article is Rs. 1710. What was the marked price?ExplanationSP = MP × 0.9 × 0.95 = 0.855 × MP. So MP = 1,710/0.855 = Rs. 2,000.
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Q8 MediumAfter a discount of 30% on the marked price, an article is sold for Rs. 840. What was the marked price?ExplanationSP = 70% of MP. MP = 840/0.7 = Rs. 1,200.
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Q9 MediumAfter an 18% discount, a customer pays Rs. 820 for an article. What was the marked price?ExplanationSP = 82% of MP. MP = 820/0.82 = Rs. 1,000.
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Q10 MediumA shopkeeper marks an article at Rs. 1,875 and offers a 12% discount. The selling price is:ExplanationSP = 1,875 × 0.88 = Rs. 1,650.
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Q11 MediumAfter a 25% discount, the selling price of a laptop is Rs. 33,750. What was the marked price?ExplanationSP = 75% of MP. MP = 33,750/0.75 = Rs. 45,000.
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Q12 HardThe percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 25% profit?ExplanationProfit% at Rs. 1,920 equals loss% at Rs. 1,280 only when CP = Rs. 1,600. For 25% profit, SP = 1,600 × 1.25 = Rs. 2,000.
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Q13 HardAn article costing Rs. 600 is marked 25% above cost and sold after a 10% discount on the marked price. What is the selling price?ExplanationMP = 600 × 1.25 = Rs. 750. SP = 750 × 0.9 = Rs. 675.
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Q14 HardAfter successive discounts of 20% and 10% on a marked price of Rs. 1,000, the selling price is:ExplanationSP = 1,000 × 0.8 × 0.9 = Rs. 720.
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DS1 Easy
A retail store manager must report the final selling price of a discounted article. What is the selling price?
Statement IThe marked price of the article is Rs. 1,800.
Statement IIThe store offers a 15% discount on the marked price.
ExplanationStatement I gives MP only; Statement II gives the discount rate only. Together: SP = 1,800 × 0.85 = Rs. 1,530. -
DS2 Medium
During an inventory audit, staff need the marked price of a sold article. What was the marked price?
Statement IAfter a 20% discount, the article was sold for Rs. 960.
Statement IIThe discount amount on the marked price was Rs. 240.
ExplanationStatement I: MP = 960/0.8 = Rs. 1,200. Statement II: MP = 960 + 240 = Rs. 1,200. Each statement alone is sufficient.
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DS3 Medium
A billing executive must confirm the amount payable after discount. What is the selling price after discount?
Statement IThe cost price is Rs. 700 and the markup on cost price is 20%.
Statement IIA discount of 10% is allowed on the marked price.
ExplanationStatement I gives MP = Rs. 840. Statement II gives the discount rate. Together: SP = 840 × 0.9 = Rs. 756. -
DS4 Hard
A supervisor checks whether the discounted selling price exceeds the purchase cost. Is the selling price greater than the cost price?
Statement IThe cost price of the article is Rs. 500.
Statement IIThe marked price is 40% above cost price and a discount of 20% is given on the marked price.
ExplanationStatement I gives CP only. Statement II gives markup and discount but not CP. Together: MP = Rs. 700, SP = Rs. 560, which is greater than CP Rs. 500.