Study HubHubPage 23/182Scan verified MCQs with the answer highlighted, then open explanations when you want the reasoning.
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Profit Percentage
A man buys 10 articles for Rs. 8 and sells them at the rate of Rs. 1.25 per article. His gain is: ______?
The man buys 10 articles for Rs. 8, so cost price per article = 8/10 = Rs. 0.8. He sells each at Rs. 1.25, so selling price for 10 articles = 1.25 × 10 = Rs. 12.5. Gain = 12.5 - 8 = Rs. 4.5. Gain percentage = (4.5/8) × 100 = 56.25%. Hence, the gain is 56 ¼ %.
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Depreciation & Profit
The value of a machine depreciates at 20% per annum. If its present value is Rs. 1,50,000, at what price should it be sold after two years such that a profit of Rs. 24,000 is made?
The machine depreciates at 20% per annum on a reducing balance basis. After two years, its value is calculated as Rs. 150,000 × (0.8)² = Rs. 96,000. To make a profit of Rs. 24,000, the selling price should be Rs. 96,000 + Rs. 24,000 = Rs. 1,20,000. This matches option B, so the correct answer is Rs. 1,20,000.
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Mixtures & Allegations (Profit)
A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of another variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. His profit percent is:
The total cost price (CP) of the mixture is calculated as (26 kg × Rs. 20) + (30 kg × Rs. 36) = Rs. 520 + Rs. 1080 = Rs. 1600. The total weight of the mixture is 26 + 30 = 56 kg. The selling price (SP) of the mixture is Rs. 30 per kg, so total SP = 56 × 30 = Rs. 1680. Profit = SP - CP = Rs. 1680 - Rs. 1600 = Rs. 80. Profit percent = (Profit / CP) × 100 = (80 / 1600) × 100 = 5%. Therefore, the correct profit percent is 5%, which corresponds to option B.
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Net Profit/Loss
A shopkeeper sells two articles at Rs. 1000 each, making a profit of 20% on the first article and a loss of 20% on the second article. Find the net profit or loss that he makes.
The cost price of the first article is Rs. 1000 / 1.2 = Rs. 833.33, and the cost price of the second article is Rs. 1000 / 0.8 = Rs. 1250. Total cost price = Rs. 833.33 + Rs. 1250 = Rs. 2083.33. Total selling price = Rs. 2000. Since selling price < cost price, there is a net loss. Net loss = Rs. 2083.33 - Rs. 2000 = Rs. 83.33, which is approximately 4% loss on total cost price.
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Profit & Loss
If the cost price of 12 pens is equal to the selling price of 8 pens, the gain percent is:
If the cost price of 12 pens equals the selling price of 8 pens, then the selling price of 1 pen is (cost price of 12 pens) / 8 = 1.5 times the cost price of 1 pen. This means a 50% gain on the cost price. However, gain percent is calculated as (Gain / Cost Price) × 100 = ((SP - CP)/CP) × 100. Here, SP = 1.5 CP, so gain = 0.5 CP, gain percent = (0.5/1) × 100 = 50%. But the options suggest a different interpretation: The gain percent is ((SP - CP)/CP) × 100 = ((12/8 - 1) × 100) = (1.5 - 1) × 100 = 50%. The correct answer is 50%, which corresponds to option C. However, the original answer was C but the explanation was missing. The explanation is now provided.
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Discount
An umbrella marked at Rs. 80 is sold for Rs. 68. The rate of discount is:
The rate of discount is calculated as (Discount / Marked Price) × 100 = ((80 - 68) / 80) × 100 = (12 / 80) × 100 = 15%. However, the option C '17 11/17%' is incorrect. The correct discount rate is 15%, which corresponds to option A. Therefore, the original correct_answer 'A' is correct, but option C is incorrect. Since the question asks for the rate of discount, the correct answer is 15%.
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Profit & Loss
A merchant sold his goods for Rs. 75 at a profit percent equal to the cost price. The cost price was: ________?
Let the cost price be Rs. x. The profit percent is equal to the cost price, so profit = x% of x = (x*x)/100. The selling price is cost price plus profit: x + (x^2)/100 = 75. Multiplying both sides by 100: 100x + x^2 = 7500, or x^2 + 100x - 7500 = 0. Solving this quadratic gives x = 50 (positive root). Hence, the cost price is Rs. 50.
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Profit & Loss (Combined)
Rayyan purchased a refrigerator and a mobile phone for Rs. 15,000 and Rs. 8,000 respectively. He sold the refrigerator at a loss of 4 percent and the mobile phone at a profit of 10 percent. Overall, he made a ______________?
The refrigerator was sold at a 4% loss on Rs. 15000, which is a loss of Rs. 600. The mobile phone was sold at a 10% profit on Rs. 8000, which is a profit of Rs. 800. Overall, the net gain is Rs. 800 - Rs. 600 = Rs. 200 profit. However, the question asks for overall result, so the correct calculation is: Loss on refrigerator = 4% of 15000 = 600; Profit on mobile = 10% of 8000 = 800; Net = 800 - 600 = Rs. 200 profit. The correct answer should be profit of Rs. 200, which corresponds to option D. But since the original options include an extra option E (None of these), and the original correct answer is D, the options need to be corrected to only four options as per instructions, removing option E. After removing option E, the correct answer remains D. Therefore, the original correct answer D is correct but option E is invalid and should be removed. The question text has minor grammar issues fixed.
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Profit & Loss (Discount)
A trader lists his articles 20% above cost price and allows a discount of 10% on cash payment. His gain percent is:
The trader lists the articles at 20% above cost price, so the marked price is 120% of C.P. After allowing a 10% discount, the selling price becomes 90% of the marked price, i.e., 0.9 × 120% = 108% of C.P. Thus, the gain percent is 8%.
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Profit/Loss In Items
A man sells 320 mangoes at the cost of 400 mangoes. His gain percent is: ________?
The man sells 320 mangoes at the cost price of 400 mangoes. This means the selling price (SP) is equal to the cost price (CP) of 400 mangoes, while the cost price is for 320 mangoes. The gain is the difference between SP and CP, which is the cost price of 80 mangoes (400 - 320). The gain percent is calculated as (Gain / CP) × 100 = (80 / 320) × 100 = 25%. Therefore, the gain percent is 25%, corresponding to option D.