# ICSE Class 8 Answered

**A shopkeeper is allowing a discount of 20% on his goods, how much percent above the cost price should he mark his goods, so that after allowing a discount on marked price, he gains 25%?**

Asked by rajrudrag | 28 Oct, 2019, 07:22: PM

Expert Answer

Let sell price is S, Marked Price is M and Cost price is C

Profit = Sell Price - Cost Price = S - C

Here sell price after 20% discount on Marked Price = 0.8 * M

Now, target profit is 25% of Cost price = 0.25 *C

Keeping all the values in profit equation.

0.25 * C = 0.8 * M - C

Solve the above equation;

1.25 * C = 0.8 * M

M = 1.25/0.8 C = 1.5625 C = 1.6 C

Marked Price should be 1.56 times of Cost price to get the profit of 25% on product after sell.

That is 56% more than CP

Answered by Renu Varma | 30 Oct, 2019, 10:18: AM

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