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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'

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  • $\begingroup$ It seems that apples became pears ! $\endgroup$ Commented May 7, 2016 at 12:56
  • $\begingroup$ cost price is 60 dollars $\endgroup$
    – user137481
    Commented May 9, 2016 at 17:51

1 Answer 1

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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.

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