Question

By 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 percent?

• A. $50\%$
• B. $25\%$
• C. $30\%$
• D. $12.5\%$

Answer 1

The correct option is D $12.5\%$

Selling price of Jug $=\text{SP}$

Cost price Jug $=CP$

${\text{SP}}_1=$ Rs. $144$ selling price initially

Loss $=\frac{1}{7}\times \text{CP}$ given in question

$\text{Loss}=\text{CP}-\text{SP}$

Loss $=\frac{1}{7}\times \text{CP}=\text{CP}-144$

$\Rightarrow \frac{6}{7}\times \text{CP}=144$

$\Rightarrow \text{CP}=$ Rs. $168$

Now, If Jug is sold for Rs. $189$

${\text{SP}}_2=$ Rs. $189$

Gain $\%=\frac{\text{SP}-\text{CP}}{\text{CP}}\times 100\%$

$=\frac{189-168}{168}\times 100\%$

$=\frac{21}{168}\times 100\%$

$=\frac{1}{8}\times 100\%$

$=12.5\%$