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A shopkeeper give 20% discount on a article and sold it with a profit of 25%. Find cost price in Rs. if selling price is 640rs?Options512602286426

Question

A shopkeeper gives 20% discount on an article and sold it with a profit of 25%. Find the cost price in Rs. if the selling price is Rs. 640?

Options:

  • 512
  • 602
  • 286
  • 426
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Solution

To solve this problem, we need to understand that the selling price is the result of the cost price plus the profit minus the discount.

Step 1: We know that the selling price after a 25% profit is 640 Rs. So, we can calculate the cost price before the profit by dividing the selling price by 1.25 (since 25% profit means the selling price is 125% of the cost price).

640 / 1.25 = 512 Rs.

Step 2: But this is the price after the shopkeeper gave a 20% discount. So, this price is 80% of the original price. We can find the original price by dividing this price by 0.8.

512 / 0.8 = 640 Rs.

So, the original cost price of the article was 640 Rs.

Therefore, the correct option is 640.

This problem has been solved

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