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Question
If the selling price of 10 pens is equal to cost price of 14 pens, find the gain percent.
Solution
\[\text { Let the cost price of one pen be Rs . C, and the selling price be Rs } . S\]
\[\text { Therefore,} 10S = 14C\]
\[C = \frac{10}{14}S\]
\[\text { However, the cost price is less than the selling price } . \]
\[S . P . = \left( \frac{100 + \text {profit %}}{100} \right)C . P\]
\[S = \left( \frac{100 +\text { profit % }}{100} \right)C\]
\[\frac{S}{C} = \left( \frac{100 + \text { profit % }}{100} \right)\]
\[\frac{14}{10} = \left( \frac{100 +\text { profit % }}{100} \right)\]
\[\frac{1400}{10} = 100 + \text { profit %} \]
\[140 - 100 = \text { profit % } \]
\[\text { Profit % }= 40\]
\[ =\text { 40 % } \]
\[\text { Therefore, the required profit percent is 40 % }. \]
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