Practice Questions
Concept Explanation
Find profit or loss after discount by comparing final SP with CP:
Profit = SP − CP | Profit% = ((SP − CP) / CP) × 100
Typical chain: CP → MP (markup) → SP (discount) → compare SP with CP.
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Q1 Medium
CP Rs. 500, MP 20% above CP, 10% discount. Profit% is:
ExplanationMP = 600, SP = 540. Profit = 40 → 8%. -
Q2 Medium
CP Rs. 800, marked 25% up, sold at 20% discount. Profit is:
ExplanationMP = 1000, SP = 800 = CP. No profit. -
Q3 Easy
CP Rs. 400, MP Rs. 500, discount 10%. Profit% on CP is:
ExplanationSP = 450. Profit = 50 → 12.5%. -
Q4 Medium
CP Rs. 600, markup 50%, discount 20%. SP is Rs. 720. Profit% is:
ExplanationProfit = 120. Profit% = 20%. -
Q5 Medium
CP Rs. 1,000, MP 30% up, 10% off. Profit amount is:
ExplanationMP = 1300, SP = 1170. Profit = 170. -
Q6 Hard
Marked 40% above CP, sold at 25% discount. Net profit% on CP is:
ExplanationSP = 1.4 × 0.75 = 1.05CP → 5% profit. -
Q7 Medium
CP Rs. 350, MP Rs. 420, discount 15%. Profit is:
ExplanationSP = 357. Profit = Rs. 7.
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Q8 Hard
After 20% markup and 20% discount, net change on CP is:
Explanation1.2 × 0.8 = 0.96 → 4% loss. -
Q9 Hard
CP Rs. 480, MP 25% up, SP Rs. 540 after discount. Discount% is:
ExplanationMP = 600. 540/600 = 0.9 → 10% discount. -
Q10 Hard
CP Rs. 900, sold at 10% profit after 10% discount on MP. MP is:
ExplanationSP = 990. MP = 990/0.9 = Rs. 1,100. -
Q11 Easy
CP Rs. 200, MP 50% up, discount 20%. SP is:
ExplanationMP = 300, SP = 240. -
Q12 Medium
CP Rs. 750, markup and discount equal at 20%. Net result is:
Explanation1.2 × 0.8 = 0.96 → 4% loss. -
Q13 Hard
CP Rs. 640, MP 37.5% above, discount 20%. Profit% is:
ExplanationMP = 880, SP = 704. Profit 64 → 10%. -
Q14 Medium
If CP = Rs. 500, MP = Rs. 650, and there is Rs. 95 profit after discount, SP is:
ExplanationSP = CP + profit = Rs. 595.
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DS1 Medium
What is the profit percentage on CP?
Statement ICP is Rs. 400 and MP is 25% above CP.
Statement IIA discount of 20% is given on MP.
ExplanationMP = 500, SP = 400 → 0% profit. Both needed. -
DS2 Easy
Is there a profit after discount?
Statement ICP is Rs. 600.
Statement IISP after discount is Rs. 660.
ExplanationProfit = 60. Both CP and SP needed.
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DS3 Medium
What is the profit amount?
Statement ICP is Rs. 800.
Statement IIMP is Rs. 1,000 with 10% discount.
ExplanationSP = 900, profit = Rs. 100. -
DS4 Hard
What is the discount percentage on MP?
Statement ICP is Rs. 500 and markup is 40%.
Statement IIThere is no profit and no loss after discount.
ExplanationMP = 700, SP = 500. Discount = 200/700 ≈ 28.57%.