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A bought an item for ₹384 and sold it for ₹480. B bought another item for ₹1,254 and sold it for ₹1,672. What is the ratio of the gain percentage of A to the gain percentage of B?
415
43
215
23
43
Calculate gain as a fraction: For A, gain = (480-384)/384 = 96/384 = 1/4 (25%). For B, gain = (1672-1254)/1254 = 418/1254 = 1/3 (33.33%). Ratio of 1/4 to 1/3 is 3:4.
A: Cost Price CPA = ₹384, Selling Price SPA = ₹480. B: CPB = ₹1,254, SPB = ₹1,672.
Gain%=CPSP−CP×100
Calculate gain as a fraction: For A, gain = (480-384)/384 = 96/384 = 1/4 (25%). For B, gain = (1672-1254)/1254 = 418/1254 = 1/3 (33.33%). Ratio of 1/4 to 1/3 is 3:4.
Confusing the order of the ratio or calculating gain percentage incorrectly by dividing by SP instead of CP.
Calculate Gain % of A
Gain of A is 480−384=96. Gain percentage is 38496×100=25%.
Gain%A=38496=41
Calculate Gain % of B
Gain of B is 1672−1254=418. Gain percentage is 1254418×100=33.33%.
Gain%B=1254418=31
Find the ratio
The ratio of gain % of A to B is 41:31. Multiply both sides by 12 to simplify.
1/31/4=43
B is correct because the gain percentage ratio simplifies to 3:4, which is equivalent to the fraction 3/4.
This type of ratio problem often appears in Data Interpretation sections to test how quickly you can simplify large fractions.
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