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By selling 100 oranges, a vendor gains a profit equal to the selling price of 20 oranges. Find his gain percent
Given :
By selling 100 oranges, a vendor gains a profit equal to the selling price of 20 oranges.
To do :
We have to find the gain percent.
Solution :
Let the selling price of 1 orange be $Rs.\ 1$.
This implies,
The selling price of 100 oranges $= Rs.\ 100 \times1=Rs.\ 100$
Selling price of 25 oranges $= Rs.\ 25 \times 1= Rs.\ 25$
This implies,
Gain $=Rs.\ 25$
Cost price of 100 oranges $=$ Selling price of 100 oranges $-$ Gain
$= Rs.\ (100 - 25)$
$= Rs.\ 75$
Therefore,
Gain percent $= \frac{Gain}{Cost\ price}\times100 \%$
$= \frac{25}{75}\times100 \%$
$= \frac{100}{3} \%$
$= 33.33 \%$
The gain percent is $33.33 \%$.
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