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 EasyTwo articles each costing Rs. 500 are sold at 20% profit and 20% loss respectively. The overall result of the transaction is:ExplanationTotal SP = 600 + 400 = Rs. 1,000, equal to total CP Rs. 1,000.
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Q2 EasyA dealer's total cost price for a lot of goods is Rs. 2,000 and the total selling price is Rs. 2,100. The overall profit percentage on cost price is:ExplanationNet profit = Rs. 100. Profit% = (100/2000) × 100 = 5%.
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Q3 EasyGoods purchased for a total of Rs. 1,500 are sold for Rs. 1,425 altogether. The overall loss percentage on cost price is:ExplanationLoss = Rs. 75. Loss% = (75/1500) × 100 = 5%.
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Q4 MediumA man sold two chairs for Rs. 990 each. On one he gained 10% and on the other he lost 10%. His gain or loss percent on the whole transaction is:ExplanationCP = 990/1.1 + 990/0.9 = 900 + 1100 = Rs. 2,000. Total SP = Rs. 1,980. Loss = Rs. 20 → 1% loss on total CP.
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Q5 MediumIf two articles are sold at the same price, one at a profit of 20% and the other at a loss of 20%, then on the whole transaction there is:ExplanationLet common SP = S. Total CP = S/1.2 + S/0.8 = 25S/12. Total SP = 2S. Loss% = (25S/12 − 2S)/(25S/12) × 100 = 4%.
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Q6 MediumTwo articles were bought for Rs. 37.50 and Rs. 42.50 respectively. They were sold at a profit of 10% and a loss of 10% respectively. What is the overall result of the transaction?ExplanationTotal CP = Rs. 80. Total SP = 37.50 × 1.10 + 42.50 × 0.90 = 41.25 + 38.25 = Rs. 79.50. Net loss = Rs. 0.50.
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Q7 MediumTwo items with cost prices Rs. 400 and Rs. 600 are sold at 10% profit and 10% loss respectively. The net result on the total cost price is:ExplanationTotal SP = 440 + 540 = Rs. 980. Total CP = Rs. 1,000. Loss Rs. 20 → 2% loss on total CP.
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Q8 MediumA shop buys 10 items at Rs. 50 each and sells 6 at Rs. 60 each and 4 at Rs. 45 each. The net profit on the transaction is:ExplanationTotal CP = Rs. 500. Total SP = 360 + 180 = Rs. 540. Net profit = Rs. 40.
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Q9 MediumFour items each costing Rs. 100 are sold for Rs. 115, Rs. 95, Rs. 110, and Rs. 90 respectively. The net profit or loss on the lot is:ExplanationTotal CP = Rs. 400. Total SP = Rs. 410. Net profit = Rs. 10.
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Q10 HardA man sold two articles for Rs. 4000 each, neither losing nor gaining in the deal. If one was sold at a gain of 25%, the other is sold at a loss of:ExplanationCP of first = 4000/1.25 = Rs. 3,200. Total CP = Rs. 8,000, so second CP = Rs. 4,800. Loss% = (4800 − 4000)/4800 × 100 = 16⅔%.
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Q11 HardA man sold two flats for Rs. 675,958 each. On one he gained 16% while on other he lost 16%. How much does he gain or lose in the whole transaction?ExplanationTotal CP = 675958/1.16 + 675958/0.84 = Rs. 13,87,434. Total SP = Rs. 13,51,916. Net loss = Rs. 35,518.
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Q12 HardA man sells two articles for Rs. 4000 each, neither losing nor gaining. If one was sold at 25% gain, the other at a loss of:ExplanationFirst CP = 4000/1.25 = Rs. 3,200. Total CP = Rs. 8,000, so second CP = Rs. 4,800. Loss% on second = 800/4800 × 100 = 16⅔%.
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Q13 HardArticle A costing Rs. 300 is sold at 20% profit and article B costing Rs. 700 is sold at 10% loss. The overall profit or loss on the combined cost price of Rs. 1,000 is:ExplanationTotal SP = 360 + 630 = Rs. 990. Net loss Rs. 10 → 1% loss on total CP.
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Q14 HardTwo articles of equal cost price are sold at 30% profit and 30% loss respectively. The net percentage result on the total cost price is:ExplanationIf each has CP = C, total SP = 1.3C + 0.7C = 2C = total CP — no net gain or loss.
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DS1 Easy
The finance department must report the overall result of two bulk sales made on the same business day. What is the overall profit or loss percentage on total cost price?
Statement IThe total cost price of all goods sold is Rs. 2,000.
Statement IIThe total selling price of all goods sold is Rs. 2,100.
ExplanationTogether: net profit = Rs. 100 on CP Rs. 2,000 → 5% profit. Each statement alone lacks the other total. -
DS2 Easy
A warehouse supervisor is tallying revenue from three identical units sold with the same markup. What is the total selling price?
Statement IThree articles each costing Rs. 200 are sold at 10% profit on cost price.
Statement IINo other sales occur during the period.
ExplanationStatement I alone: total SP = 3 × 220 = Rs. 660. Statement II confirms no additional sales.
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DS3 Medium
A branch manager needs to know whether the day's combined transactions yielded a net profit. Is there an overall profit on the total cost price?
Statement ITwo equal articles are sold at 15% profit and 10% loss respectively.
Statement IIEach article has a cost price of Rs. 500.
ExplanationTogether: total SP = 575 + 450 = Rs. 1,025 and total CP = Rs. 1,000 → net profit. Both statements are needed. -
DS4 Medium
After a quarter-end review, the accounts team must compute the net loss figure for a consignment. What is the net loss amount?
Statement IThe total cost price of the consignment is Rs. 5,000.
Statement IIThe overall loss on the consignment is 4% on cost price.
ExplanationTogether: net loss = 4% of 5000 = Rs. 200. Each statement alone is insufficient.