Question 13

A merchant marks the price of his articles 30% above the cost price. He gives some discount on it and earns a profit of 13.75%. What is the discount percentage?

Solution

Let cost price = Rs. $$100x$$

Profit % = 13.75%

=> Selling price = $$100x+(\frac{13.75}{100}\times100x)=Rs.$$ $$113.75x$$

Also, marked price = $$100x+(\frac{30}{100}\times100x)=Rs.$$ $$130x$$

$$\therefore$$ Discount % = $$\frac{(130x-113.75x)}{130x}\times100$$

= $$\frac{162.5}{13}=12.5\%$$

=> Ans - (A)

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