Question

A shopkeeper buys $x$ kg sugar for Rs. $y$ and sells it at Rs $z$ per kg. Find profit percent.

• A. $\frac{(zx-y)}{x}\times 100$%
• B. $\frac{(zx-y)}{y}\times 100$%
• C. $\frac{(z-x)}{y}\times 100$%
• D. $\frac{(z-xy)}{y}\times 100$%

Answer 1

The correct option is B $(\frac{(zx-y)}{y}\times 100\%)$

Given, the amount of sugar that the shopkeeper has $=xkg$
Cost price of $xkg$ sugar $=Rs.y$
Selling price$=Rs.z$ per kg.
So, total selling price for $xkg$ of sugar $=xz$
Since, Profit $=$Total Selling Price$-$Cost Price
$\Rightarrow$Profit $=xz-y$
Thus, profit percentage$=\frac{\text{Profit}}{C.P}\times 100$
$=\left(\frac{xz-y}{y}\right)100\%$