Question

Mark (✓) against the correct answer
On selling a jug for Rs 144, a man loses $\frac{1}{7}$ of his outlay. If it is sold for Rs 189, what is the gain%?

(a) 50%
(b) 25%
(c) 30%
(d) 12%

Answer 1

Let the cost price be Rs. x.
Loss = $\mathrm{Rs}.\frac{x}{7}$
∴ SP = $(x-\frac{x}{7})=\mathrm{Rs}.\frac{6}{7}x$

Given:
SP = Rs. 144

∴ $\frac{6}{7}x=144$
⇒ $x=\frac{144\times 7}{6}=\mathrm{Rs}.168$

∴ CP = Rs. 168
SP = Rs. 144

New SP = Rs. 189
Gain = SP - CP = $\mathrm{Rs}.(189-168)=\mathrm{Rs}.21$

$$\begin{gathered} \mathrm{Gain}\%=\left(\frac{\mathrm{Gain}}{\mathrm{CP}}\times 100\right)\% \\ =\left(\frac{21}{168}\times 100\right)\% \\ =12.5\% \end{gathered}$$

The correct answer is 12.5%.
All the given options are wrong.