Question

A man sells two articles for the same price for Rs. $640$. He earns $20\%$ profit on the first and $10\%$ profit on the second. Find the over all percent profit.

• A. $14.78\%$
• B. $14.08\%$
• C. $14.58\%$
• D. $14.68\%$

Answer 1

The correct option is A $14.78\%$

S.P of first article $=$ Rs. $640$

Profit $=20\%$

Then C.P of the first article $=\frac{100}{100+20}\times 640=$ Rs. $533.33$

S.P of second article$=$ Rs. $640$

Profit $=10\%$

Then C.P of the second article $=\frac{100}{110}\times 640=581.81$

Total S.Pc $=640+640=$ Rs. $1280$

Total C.P $=533.33+581.81=$ Rs. $1115.14$

S.P. $>$ C.P.

Therefore, profit $=1280-1115.14=$ Rs. $164.86$

Profit $\%$ $=\frac{164.86}{1115.14}\times 100=14.78\%$