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 total profit.

• A. Profit = $az+b-(ax+by)$
• B. Profit = $(az+b)-(a+bxy)$
• C. Profit = $(a+b)z-(ax+by)$
• D. Profit = $(a-b)z+(ax+by)$

Answer 1

The correct option is C Profit = $(a+b)z-(ax+by)$

$C.P=ax+by$

$S.P$ per kg = $Rs.z$

So, $S.P$ for $(a+b)$ kg = $z(a+b)$

$Profit=S.P-C.P$ = $z(a+b)-(ax+by)$