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
B
Rs. 2575
C
Rs. 2500
D
Rs. 2400

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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