Question

# A tricycle is sold at a gain of $15%$. Had it been sold for$Rs108$ more the profit would have been$20%$. Find its cost price.

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Solution

## Assume the cost of the tricycle to be$x$.It is sold at a gain of $15%=\frac{15x}{100}.$If it was sold for$Rs108$, the profit would be$20%=\frac{20x}{100}.$$\left[\frac{20x}{100}\right]–\left[\frac{15x}{100}\right]=108\phantom{\rule{0ex}{0ex}}\frac{5x}{100}=108\phantom{\rule{0ex}{0ex}}5x=10800\phantom{\rule{0ex}{0ex}}x=2160$Hence, the cost price of the tricycle $=Rs.2160.$

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