Question

A trader marks his goods at $25\%$ above his cost price and allows a discount of $12\frac{1}{2}$ $\%$ on purchases for cash payment. The profit percent he makes is:

• A. $9\frac{3}{8}$ $\%$
• B. $11\frac{2}{3}$ $\%$
• C. $7\frac{1}{3}$ $\%$
• D. $4\frac{1}{11}$ $\%$

Answer 1

Answer: (A)

$9\frac{3}{8}$ $\%$

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

Then M.P $=$ Rs. $125$

Discount$=\frac{25}{2}$

S.P $=125-\frac{25}{2}\%$ of $125$

S.P $=125-\frac{25}{2}\times \frac{1}{100}\times 125$

S.P $=125-15.625=$ Rs. $109.375$

Profit $=109.375-100=9.375$

Profit $\%$$=\frac{9.375}{100}\times 100=9.375=9\frac{3}{8}$ $\%$