Practice Questions
Concept Explanation
Many placement problems keep CP as the central unknown. Express SP, MP, profit, and loss in terms of CP, then solve.
If SP = 115% of CP and discount on MP is known, build: CP → MP → SP as multipliers on CP.
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Q1 Easy
SP is 120% of CP. Profit% on CP is:
ExplanationProfit% = 20%. -
Q2 Medium
If CP = Rs. x, MP = 1.4x, discount 10%, SP equals:
ExplanationSP = 1.4x × 0.9 = 1.26x. -
Q3 Easy
CP unknown. Sold at 25% profit. If profit = Rs. 150, CP is:
Explanation0.25 × CP = 150 → CP = 600. -
Q4 Easy
Article sold at 10% loss. If CP were Rs. 900, loss is:
ExplanationLoss = 90. -
Q5 Hard
CP Rs. 720, MP 25% up, discount d% gives SP = CP. d is:
ExplanationMP = 900. 900(1 − d/100) = 720 → d = 20%. -
Q6 Easy
If CP : SP = 5 : 6, profit% is:
ExplanationProfit 1 on 5 → 20%. -
Q7 Medium
CP Rs. 840. To gain Rs. 126, profit% required is:
Explanation126/840 × 100 = 15%.
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Q8 Easy
SP = 88% of CP. Loss% is:
ExplanationLoss 12%. -
Q9 Hard
CP Rs. 500, wants 20% profit after 10% discount on MP. MP is:
ExplanationSP = 600. MP = 600/0.9 = Rs. 666.67. -
Q10 Easy
If loss is 15% of CP, SP as fraction of CP is:
ExplanationSP = 85% of CP. -
Q11 Hard
CP doubled, profit amount unchanged. New profit% is:
ExplanationProfit% = profit/CP — CP doubles, percent halves. -
Q12 Hard
CP Rs. 400, SP Rs. 460. If CP increases 10%, SP unchanged, new profit% is:
ExplanationNew CP = 440. Profit 20 → 20/440 ≈ 4.55%. -
Q13 Medium
CP Rs. 1,600, MP 20% up, discount 25%. SP is:
ExplanationMP = 1920, SP = 1920 × 0.75 = Rs. 1,440. -
Q14 Easy
If CP is Rs. 550 and SP is Rs. 605, profit% on CP is:
ExplanationProfit = 55. Profit% = (55/550) × 100 = 10%.
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DS1 Easy
What is the cost price?
Statement IProfit is 20% of CP.
Statement IIProfit amount is Rs. 140.
ExplanationTogether: CP = 700. -
DS2 Medium
What is the selling price?
Statement ICP is Rs. 800.
Statement IIThere is a 12.5% profit on CP.
ExplanationSP = 900.
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DS3 Medium
What is the cost price?
Statement ISP is Rs. 920 at 15% profit.
Statement IIMP is not involved.
ExplanationCP = 920/1.15 = 800. -
DS4 Hard
Is CP greater than Rs. 500?
Statement ISP is Rs. 660 at 10% profit on CP.
Statement IIMP is 20% above CP.
ExplanationCP = 600 > 500.