Question 68

The marked price of an article is ₹315 It is sold for ₹288. If there is a loss of 4%, then by what percent above the cost is the article marked?

Solution

Let the cost price of the article = x Rs.

given that loss percentage =4%

Hence
$$\Rightarrow 4=\dfrac{(CP-SP)\times 100}{CP}$$

$$\Rightarrow 4=\dfrac{(x-288)\times 100}{x}$$

$$\Rightarrow 4x=100x-28800$$

$$\Rightarrow 96x=28800$$

$$\Rightarrow x=\dfrac{28800}{96}=300$$

Hence the required percentage $$=\dfrac{(315-300)\times 100}{300}=\dfrac{15\times 100}{300}=5%$$

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