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Question 57
After giving a discount of 20%, a shopkeeper earns 36% profit. Marked price is what percent more than the cost price?
Solution
Let the marked price be Rs.100
Discount = 20% of Rs.100 = Rs.20
Selling Price = Rs.100 - Rs.20 = Rs.80
Profit = 36%
Then, Cost Price = $$80\times\dfrac{100}{136} = Rs.\dfrac{1000}{17}$$
Required percentage = $$\dfrac{100-\dfrac{1000}{17}}{\dfrac{1000}{17}}\times100 = \dfrac{\dfrac{700}{17}}{\dfrac{1000}{17}}\times100$$
= $$\dfrac{700}{1000}\times100 = 70$$%
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