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1. If on a market price the difference of selling price with a discount of 30% and two successive discounts of 20% and 10% is 72, then the marked price ( in rupees ) is ?

A. Rs. 3600

B. Rs. 3000

C. Rs. 2500

D. Rs. 2400

Solution:

Let the marked price = Rs. x
Single Discount = 30%
Two successive discount is equivalent

\begin{aligned} = (20 + 10 - \frac{20 \times 10}{100}) % \\ = (30 - 2) % \\ = 28 % \end{aligned}

Difference = 2%
According to the question,

\begin{aligned} \Rightarrow 2 % of x =  72 \\ \Rightarrow \frac{2}{100} \times x = 72 \\ \Rightarrow x = \frac{72 \times 100}{2} \\ \Rightarrow x = Rs . 3600 \end{aligned}

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