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1. A trader wishes to gain 20% after allowing 10% discount on the marked price to his customers. At what percent higher than the cost price must he mark his goods ?

A. 30%

B. $33 \frac{1}{3} %$

C. $34 \frac{2}{3} %$

D. 35%

Solution:

Let the cost price of goods = Rs. 100
Selling price of goods
= 120% of 100
= Rs. 120
Mark price of goods

\begin{aligned} =  120 \times \frac{100}{90} \\ = \frac{400}{3} \end{aligned}

Difference of Mark price and Cost price

\begin{aligned} = \frac{400}{3} - 100 \\ Difference % \\ = \frac{\frac{100}{3}}{100} \times 100 \\ = \frac{100}{3} % \\ = 33 \frac{1}{3} % \end{aligned}

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