Multiple choice

There are two shopkeepers, first shopkeeper calculates his profit percent on the selling price whereas the second shopkeeper calculates his profit percent on the cost price. If the selling price for both the shopkeeper is same and the difference between their profits is Rs 175. Then, calculate the sum of the cost price for both the shopkeeper if the profit percent for the both shopkeeper is 25%?

  1. 5425

  2. 4875

  3. 4675

  4. 5275

  5. 5325
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let SP be selling price for both. Shopkeeper 1 (profit on SP): Profit = 0.25 * SP, so CP1 = 0.75 * SP. Shopkeeper 2 (profit on CP): Profit = 0.25 * CP2, so SP = 1.25 * CP2, CP2 = 0.8 * SP. Difference: 0.25SP - 0.25*0.8SP = 0.25SP - 0.2SP = 0.05SP = 175, so SP = 3500. Sum of CP = 0.75SP + 0.8SP = 1.55 * 3500 = 5425. Answer A is correct.

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