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

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

#### 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