A wholesale dealer sold his goods to a retail dealer at a profit of \

1.	A wholesale dealer sold his goods to a retail dealer at a profit of \(12\frac{1}{2}\)% . 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
Answer» (d) Rs 2400 Let the C.P. of the wholesale dealer = Rs x. Then, S.P. of the wholesale dealer = \(\frac{X\times 112.5}{100}\) = Rs \(\frac{112.5X}{100}\) C.P. of the retail dealer = \(\frac{112.5X}{100}\) , Gain = 20% \(\therefore\) S.P. of the retail dealer = \(\frac{112.5X}{100}\) x \(\frac{120}{100}\) Given, \(\frac{112.5X}{100}\) x \(\frac{12}{10}\) = 3240 \(\Rightarrow\) x = Rs \(\frac{3240\times1000}{112.5\times12}\) = Rs 2400.

A wholesale dealer sold his goods to a retail dealer at a profit of \(12\frac{1}{2}\)% . 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

Answer»

(d) Rs 2400

Let the C.P. of the wholesale dealer = Rs x. Then,

S.P. of the wholesale dealer = \(\frac{X\times 112.5}{100}\)

= Rs \(\frac{112.5X}{100}\)

C.P. of the retail dealer = \(\frac{112.5X}{100}\) , Gain = 20%

\(\therefore\) S.P. of the retail dealer = \(\frac{112.5X}{100}\) x \(\frac{120}{100}\)

Given, \(\frac{112.5X}{100}\) x \(\frac{12}{10}\) = 3240

\(\Rightarrow\) x = Rs \(\frac{3240\times1000}{112.5\times12}\) = Rs 2400.