Question

A shop keeper sells sugar in such a way that the selling price of 950gm is the same as the cost price of one kg. Determine his profit percentage.

• A.
• B.
• C.
• D.

Answer 1

The correct option is A

Let cost price of 1 kg sugar = $Rs.x$
Hence selling price of 950 gm of sugar =$Rs.x$
Selling price of 1 gm of sugar $=Rs.\left(\frac{x}{950}\right)$
Selling price of 1 kg of sugar $=Rs.\left(\frac{1000x}{950}\right)=Rs.\left(\frac{20x}{19}\right)$
$Gain=SP-CP=\left(\frac{20x}{19}\right)-x$ $=\frac{x}{19}$
$Gain\%=\left(\frac{gain}{CP}\right)\times 100=\left[\frac{\left(\frac{x}{19}\right)}{x}\right]\times 100=\frac{100}{19}=5.26\%$
Hence gain $\%$ is $5.26\%$