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Question 57
After giving a discount of 25%, a shopkeeper earns 40% profit. Marked price is what percent more than the cost price?
Solution
Let the Marked Price be Rs.100x
Discount = 25% of Rs.100x = Rs.25x
Selling Price = Rs.100x - Rs.25x = Rs.75x
Cost Price = $$75x\times\dfrac{100}{140} = \dfrac{Rs.375x}{7}$$
Required percentage = $$\dfrac{100x - \dfrac{375x}{7}}{\dfrac{375x}{7}}\times100 = \dfrac{325}{375}\times100 = 86.67$$%
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