Question

A tricycle is sold at a gain of 15%. Had it been sold for Rs 108 more, the profit would have been 20%. Find its cost price.

Answer 1

Let the CP of the tricycle be Rs. x

SP at 15% gain = $\{\frac{(100+G\mathrm{ain}\%)}{100}\times \mathrm{CP}\}$
$$\begin{gathered} =\{\frac{(100+15)}{100}\times x\} \\ =\frac{115}{100}x \end{gathered}$$

$=\mathrm{Rs}.\frac{23}{20}x$

SP at 20% gain = $x\times \frac{120}{100}=$$\mathrm{Rs}.\frac{6}{5}x$



$$\begin{gathered} \frac{6}{5}x-\frac{23}{20}x=108 \\ \Rightarrow \frac{24x-23x}{20}=108 \\ \Rightarrow \frac{x}{20}=108 \\ \Rightarrow x=2160 \end{gathered}$$

Hence, the cost price of the tricycle is Rs. 2160