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
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.
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