Practice Questions
Concept Explanation
Marked Price (MP) is the price printed on the label — also called list price. Shopkeepers add a markup on cost price to set the marked price before any discount.
Formulas
- MP = CP + markup amount
- MP = CP × (100 + markup%) / 100
- Markup% on CP = ((MP − CP) / CP) × 100
Discount is applied on MP, not on CP (covered in the Discount topic).
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Q1 EasyAn article is marked at Rs. 5000. After allowing a discount of 10%, it is sold at a gain of 12.5%. The cost price of the article is:ExplanationSP after 10% discount = 5000 × 0.90 = Rs. 4,500. With 12.5% gain on CP, CP = 4500/1.125 = Rs. 4,000.
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Q2 EasyAn article is marked at Rs. 880 and is sold at a discount of 12.5%. What is the selling price?ExplanationSP = 880 × (100 − 12.5)/100 = 880 × 0.875 = Rs. 770.
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Q3 EasyBy applying a markup of 25% on cost price, a dealer sets the marked price. If the cost price is Rs. 640, what is the marked price?ExplanationMP = 640 × 1.25 = Rs. 800.
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Q4 EasyAn article costing Rs. 800 is marked up by 25%. What is the marked price?ExplanationMP = 800 × 1.25 = Rs. 1,000.
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Q5 EasyIf the cost price is Rs. 640 and the marked price is Rs. 800, what is the markup percentage on cost price?ExplanationMarkup = 160. Markup% = (160/640) × 100 = 25%.
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Q6 EasyDuring a retail math worksheet, a shopkeeper marks goods 20% above cost price. If the cost price is Rs. 450, what is the marked price?ExplanationMP = 450 × 1.20 = Rs. 540.
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Q7 MediumA trader marks his goods 40% above cost price and allows a discount of 25%. His gain percent is:ExplanationSP = CP × 1.40 × 0.75 = 1.05 CP. Gain% on CP = 5%.
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Q8 MediumA shopkeeper marks his goods 30% above cost price but allows a discount of 20% on the marked price. His gain percent is:ExplanationSP = CP × 1.30 × 0.80 = 1.04 CP. Gain% on CP = 4%.
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Q9 MediumThe marked price of an article is Rs. 900, which is 20% above the cost price. The cost price is:ExplanationCP = 900/1.20 = Rs. 750.
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Q10 MediumThe marked price of an article is Rs. 1,725, which is 15% above the cost price. Find the cost price.ExplanationCP = 1725/1.15 = Rs. 1,500.
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Q11 MediumAn article is marked at Rs. 2,200 which is 10% more than the cost price. The cost price is:ExplanationCP = 2200/1.10 = Rs. 2,000.
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Q12 MediumBy marking an article 50% above cost price, a dealer gets Rs. 180 as markup. The cost price is:Explanation0.50 × CP = 180 → CP = Rs. 360.
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Q13 HardA trader marks goods 30% above cost price but allows 10% discount on the marked price. If the cost price is Rs. 500, what is the selling price?ExplanationMP = 650. SP = 650 × 0.90 = Rs. 585.
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Q14 HardGoods bought for Rs. 720 are marked so that after a 25% discount there is 20% profit on cost price. What is the marked price?ExplanationRequired SP = 720 × 1.20 = Rs. 864. MP = 864/0.75 = Rs. 1,152.
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DS1 Easy
What is the marked price of the article?
Statement IThe cost price is Rs. 500 and the markup is 20% on cost price.
Statement IIThe markup amount is Rs. 100.
ExplanationStatement I: MP = 500 × 1.20 = Rs. 600. Statement II: MP = 500 + 100 = Rs. 600. Each statement alone is sufficient. -
DS2 Easy
A placement coach asks for the markup percentage reckoned on cost price. What is the markup percentage on cost price?
Statement IThe cost price is Rs. 400.
Statement IIThe marked price is Rs. 520.
ExplanationTogether: markup% = ((520 − 400)/400) × 100 = 30%.
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DS3 Medium
In a retail math worksheet, what is the cost price of the article?
Statement IThe marked price is 25% above the cost price.
Statement IIThe marked price is Rs. 750.
ExplanationStatement I alone lacks MP. Statement II: CP = 750/1.25 = Rs. 600. -
DS4 Medium
Is the marked price greater than Rs. 1,000?
Statement IThe cost price is Rs. 800.
Statement IIThe markup is 30% on cost price.
ExplanationTogether: MP = 800 × 1.30 = Rs. 1,040, which exceeds Rs. 1,000.