Question

A shopkeeper buys $a$ kg of rice at Rs $x$ per kg and another $b$ kg of rice at Rs. $y$ per kg. If he sells the mixture at Rs. $z$ per kg. Find the expression for his profit percent.

• A. $\frac{(a+b)z-(ax+by)}{x+y}\times 100$%
• B. $\frac{(ax+by)-(a+b)z}{ax+by}\times 100$%
  
• C. $\frac{(a+b)z-(ax+by)}{ax+by}\times 100$%
• D. $\frac{(ax+by)-(a+b)z}{x+y}\times 100$%

Answer 1

Answer: (C)

$\frac{(a+b)z-(ax+by)}{ax+by}\times 100$%

$a$ kgs of rice is brought at Rs $x$ and $b$ kg of rice is brought at Rs $y$ per kg.

C.P. $=ax+by$

S.P. $=az+bz$

Profit $=z(a+b)-(ax+by)$

Profit % $=\frac{z(a+b)-(ax+by)}{ax+by}$ $\times 100$