### Question 17

SSC-CGL 2020 Mar 4 Shift 1

Sushma bought 12 tables and 9 chairs for Rs.15,400. She sold the tables at a profit of 10% and the chairs at a profit of 20%. If her total gain was Rs. 2080, then the total cost of the 3 chairs was?

### Solution in Detail

Let cost of 3 chairs = x

$\displaystyle \therefore$ Cost of 9 chairs = 3x

12 tables + 9 chairs cost = 15400

$\displaystyle \therefore $ of 12 tables = $\displaystyle 15400 - 3x$

Gain on chairs = $\displaystyle 20\% \times 3x = \frac{3x}{5}$

on tables $\displaystyle 10\% \times (15400 - 3x)$

Total gain is given = 2080

$\displaystyle \frac {3x}{5} + \frac{(15400 - 3x)}{10} = 2080$

$\displaystyle \therefore x = 1800\:\underline{Ans}$

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