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 the marked price, he gains 25%?
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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
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