Multiple choice

A shopkeeper sold an article at a profit of 20%. If he had bought it at 20% less and sold it for Rs. 75 less, he would have earned a profit of 25%. Find the cost price of the article.

  1. Rs. 420

  2. Rs. 355

  3. Rs. 375

  4. Rs. 320

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let CP = x. SP = 1.2x. New CP = 0.8x. New SP = 1.2x - 75. Profit = 25%, so 1.2x - 75 = 1.25 * 0.8x = 1x. 0.2x = 75, x = 375.

AI explanation

Let the original cost price be x rupees, making the original selling price 1.2x for a 20% profit. The new cost price is 0.8x, and the new selling price is 1.2x minus 75. Setting up the profit equation, 0.8x multiplied by 1.25 equals 1.2x minus 75, which simplifies to x equals 1.2x minus 75. Solving for x gives 0.2x equals 75, so x equals 375. The result is Rs. 375.

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