# Profit and loss question

A shopkeeper buys $$240$$ pears for $$60$$ dollars . Some of these pears are bad and they are thrown away. The remaining pears are sold at $$35$$ cents each , thus making a profit of $$19.80$$ dollars . Calculate the percentage of pears that are thrown away.

My workings -

Let $$x$$ be the number of pears thrown away

Selling price of remaining pears = $$(240-X)(0.35) = (84 - 0.35x)$$

Profit = selling price of the remaining pears - cost price

$$19.80 = ( 84 - 0.35x)$$ - cost price

I'm not sure what to put into the 'cost price of remaining pears' section for the remaining to find the value of 'X'

• It seems that apples became pears ! Commented May 7, 2016 at 12:56
• cost price is 60 dollars Commented May 9, 2016 at 17:51

The remaining pears are worth $$35$$ cents each. The profit from them was $$79.80$$ dollars (because we can add the $$60$$ dollars he paid. We can divide:

$$\frac{7980}{35} = 228$$

So they kept $$228$$ pears, and $$240 - 228 = 12$$ pears that were thrown away.

$$12$$ is $$\frac{1}{20}$$ of $$240$$, or $$5$$%.

So $$\boxed{5\text{%}}$$ of the pears were thrown away.