Question

By selling a table-fan for ₹891 , a man suffers a 10% Loss. At what price should he sell it in order to make a profit of 20%?

• A. ₹ 1208
• B. ₹ 1188
• C. ₹ 1144
• D. ₹ 1100

Answer 1

The correct option is B

₹ 1188

Let CP of the table-fan be ₹ $x$

If SP = ₹891 , Loss % = 10%

CP - Loss = SP

$\therefore x-\frac{10x}{100}$ = ₹891

$\Rightarrow \frac{100x-10x}{100}$ = ₹891

$\Rightarrow \frac{90x}{100}$ = ₹891

$\Rightarrow$ $x$ = $\frac{891\times 100}{90}$ = ₹990

To make a profit of 20%,
SP = CP + Profit
$SP=990+\frac{20}{100}\times 990$
$SP=990\times (1+\frac{20}{100})$
$SP=990\times (1+0.2)$
$SP=990\times \left(1.2\right)$
$\therefore$ SP = 990 $\times$ 1.2 = ₹ 1188