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Question

A wholesale dealer sold his goods to a retail dealer at a profit of $$\displaystyle 12\frac{1}{2}$$ $$\%$$. The retail dealer gained $$20\%$$ by selling the goods for Rs. $$3240$$. The cost price of the whole sale dealer was


A
Rs. 2625
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B
Rs. 2575
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C
Rs. 2500
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D
Rs. 2400
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Solution

The correct option is D Rs. $$2400$$
Let the C.P. of the wholesale dealer $$=$$ Rs. $$x$$ 

Then S.P. of the wholesale dealer $$\displaystyle =\frac{x\times 112.5}{100}$$

                                                         $$=$$ Rs. $$\dfrac{112.5x}{100}$$

C.P. of the retail dealer $$\displaystyle =$$ Rs. $$\dfrac{112.5x}{100}$$

Gain $$=20\%$$        [Given]

$$\displaystyle \therefore$$  S.P of the retail dealer $$\displaystyle =\frac{112.5x}{100}\times \frac{120}{100}$$

Given, $$\displaystyle \frac{112.5x}{100}\times \frac{12}{10}=3240$$ 

$$\displaystyle \Rightarrow x=$$ Rs. $$\dfrac{3240\times 1000}{112.5\times 12}=$$ Rs. $$2400$$

Mathematics

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