Question

A football was bought for $\mathrm{Rs}.120$ and sold for $Rs.105.$. The loss % is

Answer 1

Step 1: Let's find the loss

Cost price of football = Rs. $120$
Selling price of football = Rs. $105$
Selling price $<$ Cost price, a loss is incurred.
$Loss=Cp-Sp$
$$\begin{gathered} =120-105 \\ =15 \end{gathered}$$

Step 2: Let's find the loss percentage.
Loss Percentage = $\left[\frac{Loss}{Cp}\times 100\right]$
$$\begin{gathered} =\left(\frac{15}{120}\right)\times 100 \\ =\frac{15}{12}\times 10 \\ =\frac{150}{12} \\ =12.5\% \end{gathered}$$
Hence, the loss % is $12.5\%$