Question 52

A dealer marks his goods at 30% above the cost price. Then he allows 35% discount on it. What would be his loss percentage?

Solution

Let the Cost Price = C.P

Given, dealer marked his goods at 30% above cost price

$$=$$>  Marked Price (M.P) = $$\frac{130}{100}$$C.P = $$\frac{13}{10}$$C.P

Discount = 35%

$$=$$>  Selling Price (S.P) = $$\frac{65}{100}$$M.P = $$\frac{65}{100}\times\frac{13}{10}$$C.P = $$\frac{845}{1000}$$C.P

$$\therefore\ $$Loss % = $$\frac{\text{C.P}-\text{S.P}}{\text{C.P}}\times100\ $$

$$=\frac{ \text{C.P}-\frac{845}{1000}\ \text{C.P}}{\text{C.P}}\times100\ $$

$$=\frac{155}{1000}\times100\ $$

$$=15.5$$%

Hence, the correct answer is Option A


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