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If the Selling Price of 10 Pens is Equal to Cost Price of 14 Pens, Find the Gain Percent. - Mathematics

Answer in Brief

If the selling price of 10 pens is equal to cost price of 14 pens, find the gain percent.

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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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APPEARS IN

RD Sharma Class 8 Maths
Chapter 13 Proft, Loss, Discount and Value Added Tax (VAT)
Exercise 13.1 | Q 9 | Page 11
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