Question

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

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Solution

## Step 1: Let's find the lossCost price of football = Rs. $120$Selling price of football = Rs. $105$Selling price $<$ Cost price, a loss is incurred.$Loss=Cp-Sp$ $=120-105\phantom{\rule{0ex}{0ex}}=15$Step 2: Let's find the loss percentage.Loss Percentage = $\left[\frac{Loss}{Cp}×100\right]$$=\left(\frac{15}{120}\right)×100\phantom{\rule{0ex}{0ex}}=\frac{15}{12}×10\phantom{\rule{0ex}{0ex}}=\frac{150}{12}\phantom{\rule{0ex}{0ex}}=12.5%$Hence, the loss % is $12.5%$

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