Question

The difference between the selling prices of an article at $4$% and $3$% profit is $0.3$. The cost of price of the article is:

• A. $40$
• B. $35$
• C. $30$
• D. $10$

Answer 1

The correct option is C $30$

Let $CP$ be the Cost Price and $SP$ be the Selling Price

$S{P}_1$ (at $4\%$ profit) $=CP+\frac{4}{100}CP$

$=\frac{104}{100}CP$

$S{P}_2$ (at $3\%$ profit) $=CP+\frac{3}{100}CP$

$=\frac{103}{100}CP$

difference $=\frac{104-103}{100}CP=0.3$ (given)

$⟹CP=30$