Practice Questions
Concept Explanation
When several transactions are combined, find total CP and total SP, then net profit or loss.
Overall profit% = (Net profit / Total CP) × 100
Do not average individual profit percentages — always use totals.
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Q1 Medium
Two items CP Rs. 400 and Rs. 600 sold at 10% profit and 10% loss. Net result on total CP is:
ExplanationSP = 440 + 540 = 980. Total CP = 1000. Loss Rs. 20 → 2% loss on CP. -
Q2 Easy
Articles CP Rs. 500 and Rs. 500 sold at 20% profit and 20% loss. Overall result:
ExplanationSP = 600 + 400 = 1000, equal to total CP Rs. 1,000. -
Q3 Medium
Three articles each CP Rs. 100 sold at 10%, 0%, and 10% loss. Net profit/loss on Rs. 300 CP:
ExplanationSP = 110 + 100 + 90 = 300. Same as total CP. -
Q4 Hard
CP Rs. 800 sold at 15% profit. CP Rs. 1,200 sold at 10% loss. Net profit% on total CP:
ExplanationSP = 920 + 1080 = 2000 = total CP 2000. Break even. -
Q5 Hard
Equal CP articles: one 25% profit, one 25% loss. Overall:
ExplanationIf each has CP = C, total SP = 1.25C + 0.75C = 2C = total CP. -
Q6 Easy
Total CP Rs. 2,000, total SP Rs. 2,100. Overall profit% is:
Explanation100/2000 = 5%. -
Q7 Hard
5 articles CP Rs. 200 each, 3 sold at 10% profit, 2 at 5% loss. Total SP is:
ExplanationSP = 3 × 220 + 2 × 190 = 660 + 380 = Rs. 1,040.
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Q8 Medium
Shop buys 10 items at Rs. 50, sells 6 at Rs. 60 and 4 at Rs. 45. Net profit is:
ExplanationCP=500, SP=360+180=540. Profit 40. -
Q9 Easy
CP Rs. 1,500 total. SP Rs. 1,425. Overall loss% is:
Explanation75/1500 = 5%. -
Q10 Hard
Two equal CP: +30% and −30%. Net percentage on total CP:
ExplanationSP = 1.3C + 0.7C = 2C for total CP 2C — no net gain or loss. -
Q11 Medium
CP Rs. 900, sold in parts: half at 20% profit, half at 10% loss. SP is:
ExplanationSP = 450 × 1.2 + 450 × 0.9 = 540 + 405 = Rs. 945. -
Q12 Easy
Net profit Rs. 180 on total CP Rs. 3,600. Overall profit%:
Explanation180/3600 = 5%. -
Q13 Medium
4 items CP Rs. 100 each, SP Rs. 115, 95, 110, 90. Net profit/loss:
ExplanationCP=400, SP=410, profit 10. -
Q14 Hard
Articles A CP 300 profit 20%, B CP 700 loss 10%. Overall profit% on Rs. 1,000:
ExplanationSP = 360 + 630 = 990. Net loss Rs. 10 → 1% loss on total CP.
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DS1 Easy
What is the overall profit or loss percentage?
Statement ITotal CP is Rs. 2,000.
Statement IITotal SP is Rs. 2,100.
ExplanationProfit 5% on total CP. -
DS2 Medium
Is there an overall profit?
Statement ITwo equal articles sold at 15% profit and 10% loss.
Statement IIEach has CP Rs. 500.
ExplanationSP = 575 + 450 = 1025, CP = 1000 → profit.
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DS3 Easy
What is the total selling price?
Statement IThree articles each CP Rs. 200 sold at 10% profit.
Statement IINo other sales occur.
ExplanationSP = 660. -
DS4 Medium
What is the net profit amount?
Statement ITotal CP is Rs. 5,000.
Statement IIOverall loss is 4%.
ExplanationLoss = Rs. 200.