Question

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

• A. $5.26\%$
• B. $5\%$
• C. $6.72\%$
• D. $8\%$

Answer 1

The correct option is A $5.26\%$

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