Question

An item is sold at a loss of 10%. Had it sold for Rs. 9 more, a profit of 25/2% would have gained. What is the cost price of the item?

Answer 1

Let the cost price of the item $=$ Rs.$50$

Sold at $10\%$ loss $\Rightarrow$ for Rs.$50$ loss

S.P $=$ Rs.$45$

From the given data,

$\frac{25}{2}\%$ gain if it is sold at Rs. $9$ more

$\Rightarrow 56.25-45=9$

$\Rightarrow 11.25=9$

$\Rightarrow 22.5=18$

$\Rightarrow 45=36$

$\Rightarrow 50=?$

$\Rightarrow$ C.P $=50\times \frac{36}{45}=40$

Hence, the Cost price of the item $=$ Rs.$40$.