Question

Mark (✓) against the correct answer
On selling an article for Rs 144 a man loses 10%. At what price should he sell it to gain 10%?

(a) Rs 158.40
(b) Rs 172.80
(c) Rs 176
(d) Rs 192

Answer 1

(c) Rs. 176

SP of an article = Rs. 144
Loss% = 10
$$\begin{gathered} CP=\{\frac{100}{(100-\mathrm{Loss}\%)}\times SP\} \\ =\{\frac{100}{(100-10)}\times 144\} \\ =\frac{100}{90}\times 144 \\ =\frac{1440}{9} \\ =\mathrm{Rs}.160 \end{gathered}$$


In order to gain 10%:

$$\begin{gathered} S.P.=\frac{(100+\mathrm{Gain}\%)}{100}\times CP \\ =\frac{(100+10)}{100}\times 160 \\ =\frac{110}{100}\times 160 \\ =\mathrm{Rs}.176 \end{gathered}$$