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If the Cost Price of 18 Chairs Be Equal to Selling Price of 16 Chairs, Find the Gain Or Loss Percent. - Mathematics

Answer in Brief

If the cost price of 18 chairs be equal to selling price of 16 chairs, find the gain or loss percent.

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Solution

\[\text { Let the cost price of one chair be Rs . C, and selling price be Rs } . S \]

\[\text { Therefore, }18C = 16S\]

\[C = \frac{16}{18}S\]

\[\text { As cost price is less than the selling price }, \]

\[S . P . = \left( \frac{100 +\text {  profit % }}{100} \right)C . P\]

\[S = \left( \frac{100 + \text { profit % }}{100} \right)C\]

\[\frac{S}{C} = \left( \frac{100 + \text { profit % }}{100} \right)\]

\[\frac{18}{16} = \left( \frac{100 +\text {  profit % }}{100} \right)\]

\[\frac{1800}{16} = 100 + \text { profit %} \]

\[\frac{1800}{16} - 100 = \text { profit % } \]

\[\text { Profit % } = \frac{1800 - 1600}{16}\]

\[ = \frac{200}{16}\]

\[ = 12 . 5\]

\[\text { Therefore, the required profit percent is 12 . 5 % }. \]

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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 10 | Page 11
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