Practice Questions
Concept Explanation
Mixed problems combine CP, SP, MP, discount, false weight, and overall profit. Strategy:
- Write the full chain from CP to final SP.
- Convert each step to a multiplier on CP.
- Solve for the unknown and check whether profit% is on CP or SP.
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Q1 Hard
CP Rs. 500, MP 40% up, discount 20%, false weight 950 g/kg. Approximate gain%:
ExplanationSP chain on CP then weight gain ~17% combined. -
Q2 Medium
CP Rs. 720, MP 25% up, discount 10%. Profit is:
ExplanationMP = 900, SP = 810, profit = Rs. 90. -
Q3 Hard
Marked 50% above CP, two discounts 10% and 10%. Net on CP:
Explanation1.5 × 0.9 × 0.9 = 1.215 → 21.5%. -
Q4 Hard
A trader marks 30% above CP, allows 20% discount, uses 900 g weight. Total gain% approx:
ExplanationPrice gain 4% × weight 11% combined roughly. -
Q5 Hard
CP Rs. 400, sold at 10% profit. If CP were 10% lower with same SP, profit% would be:
ExplanationSP=440. New CP=360. Profit% = 80/360 ≈ 22.2%. -
Q6 Medium
MP Rs. 1,100, discount 10%, CP Rs. 800. Profit% is:
ExplanationSP = 990. Profit = 190. Profit% = 190/800 = 23.75% ≈ 24%. -
Q7 Medium
Two articles: CP 600 (+20%), CP 400 (−10%). Overall profit% on Rs. 1,000:
ExplanationSP = 720 + 360 = 1080. Profit Rs. 80 → 8% on total CP.
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Q8 Medium
CP Rs. 1,000, MP 20% up, discount such that SP = CP. Discount% is:
ExplanationMP=1200. 1200(1−d/100)=1000 → d=16⅔%. -
Q9 Easy
Successive 20% markup and 20% discount with CP Rs. 750. SP is:
Explanation750 × 1.2 × 0.8 = 720. -
Q10 Hard
CP Rs. 560, MP 25% up, discount 20%, plus 900 g weight. Approx total gain%:
ExplanationPrice: 560→700→560 CP; weight adds ~11% → ~11% gain. -
Q11 Easy
If SP = MP and discount = 0, profit depends on:
ExplanationSP = MP; profit comes from markup over CP. -
Q12 Medium
CP Rs. 900, wants 10% profit after 10% discount on MP. Required MP is:
ExplanationSP=990, MP=990/0.9=1100. -
Q13 Easy
Overall: CP Rs. 2,400, SP Rs. 2,520. Same profit% if CP and SP both scaled by 2?
ExplanationProfit% = (SP−CP)/CP — scales cancel.
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DS1 Hard
What is the final profit percentage on CP?
Statement ICP is Rs. 500, MP is 40% above CP.
Statement IIA discount of 20% is given and false weight adds 10%.
ExplanationNeed full chain; all data together fixes profit%. -
DS2 Medium
What is the selling price?
Statement ICP is Rs. 800.
Statement IIMP is 25% above CP with 10% discount on MP.
ExplanationMP=1000, SP=900.
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DS3 Medium
Is overall transaction profitable?
Statement ITwo items each CP Rs. 600: one 15% profit, one 15% loss.
Statement IINo other costs.
ExplanationSP = 690 + 510 = 1200 = total CP 1200 → break even. -
DS4 Hard
What is the marked price?
Statement ICP is Rs. 400.
Statement IIAfter 10% discount on MP, profit is 8% on CP.
ExplanationSP=432, MP=480.