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The cash difference between the selling prices of an article at a profit of 4% and 6% is Rs. 3. The ratio of the two selling prices is:__________?

Correct answer: B. 52:53

  • A. 51:52
  • B. 52:53
  • C. 51:53
  • D. 52:55

Explanation

The difference between the selling prices is the difference in profit, which is 6% - 4% = 2% of the cost price. Thus, 2% of cost price = 3 Rs, giving cost price = 3 Rs / 0.02 = 150 Rs. The selling prices are 1.04 x 150 Rs = 156 Rs and 1.06 x 150 Rs = 159 Rs, so their ratio is 156:159 = 52:53. The common mistake is using the profit percentages as the final ratio directly.

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About Profit and Loss

Profit and loss compare the cost price and selling price of an item, using profit or loss percentages based on the cost price unless stated otherwise. Questions include marked price, discount, successive discounts, commission, and finding an unknown price, with care needed to distinguish discount from loss.

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