Question

If a commission of $10$ $\%$ is given on MP of book , the publisher gains $20$ $\%$. If the commission is increase to $15$ $\%$ , the gain $\%$ is?

• A. $10$
• B. $20$
• C. $15$
• D. $\frac{40}{3}$
• E. None of these

Answer 1

Answer: (D)

$\frac{40}{3}$

Let the M.P. $=$ Rs. $100$

S.P after $10$ $\%$ commission is given $=100-\frac{10}{100}\times 100=$ Rs. $90$

Profit $=20\%$

then C.P $=\frac{100}{120}\times 90=$ Rs. $75$

If commission is $15\%$ given then S.P $=100-\frac{15}{100}\times 100-$ Rs. $85$

Gain $=85-75=$ Rs. $10$

Profit $\%$ $=\frac{10}{75}\times 100=\frac{40}{3}$ $\%$