Question

A shopkeeper sells tea at $10\%$ profit and uses a weight which is $20\%$ less than the actual measure. His gain percent is

• A. $30\%$
• B. $35\%$
• C. $37\frac{1}{2}$ $\%$
• D. $32\%$

Answer 1

Answer: (C)

$37\frac{1}{2}$ $\%$

Let the marked weight be $1$ kg.

But the real weight he uses $=80\%$ of $1$ kg $=800$ gm.
Let the C.P. of $1$ gm be Rs. $1$

Then C.P. of $800$ gm $=$ Rs. $800$ and C.P. of $1000$ gm $=$ Rs. $1000$
$\therefore$ S.P. $=1000\times \frac{110}{100}=$ Rs. $1100$
Gain $=$ Rs. $1100-$ Rs. $800=$ Rs. $300$
Gain $\%$ $\frac{300}{800}\times 100=\frac{300}{8}\%=37\frac{1}{2}\%$