Question

A coffee mug was sold at ₹ 500 with a loss of 20%. How much should be the selling price in order to gain 10%?

• A. ₹ 687.50
• B. ₹ 678.50
• C. ₹ 876.50
• D. ₹ 877.50

Answer 1

The correct option is A ₹ 687.50

Selling price = ₹ 500
Loss suffered = 20%

Let C.P = x
$S.P=C.P-20\text{\% of}C.P$
$\Rightarrow 500=x-(\frac{20}{100}\times x)$

$\Rightarrow 500=x-(\frac{1}{5}\times x)$

$\Rightarrow 500=x-\frac{x}{5}$

$\Rightarrow 500=\frac{5x-5}{5}$

$\Rightarrow 500\times 5=5x-x$

$\Rightarrow x=\frac{2500}{4}$

$\Rightarrow x=625$
$\Rightarrow C.P=₹625$
For a gain of 10%
S.P =C.P + 10% of C.P
$\Rightarrow S.P=625+(\frac{10}{100}\times 625)$
$\Rightarrow S.P=625+62.50=₹687.50$