Question

A shopkeeper sold a TV set for Rs. $17940$ (price inclusive of a discount of $8\%$) and gained $19.6\%$. If no discount is allowed, then what will be his gain per cent ?

• A. $25\%$
• B. $26.4\%$
• C. $24.8\%$
• D. $30\%$

Answer 1

Answer: (D)

$30\%$

Given that discount on M.P. is $8\%$.

Means if M.P. is $100$, then S.P. is $92$.

Then if S.P. is Rs. $17940$, then M.P. is $\frac{17940}{92}\times 100=19500$.

If S.P. is $17940$ and profit is $19.6$

Means if C.P. is $100$, then S.P. is $119.6$.

So, when S.P. is $17940$, then C.P. $=\frac{17940}{119.6}\times 100=15000$.

If no discount was given, then C.P. $=15000$ and S.P. $=19500$.

Profit $=19500-15000=4500$

$\%$ profit $=\frac{4500}{15000}\times 100=30\%$