Question

The cash difference between the selling prices of an article at a profit of $4\%$ and $6\%$ is Rs. $3$. The ratio of the two selling prices is:

• A. $51:52$
• B. $52:53$
• C. $51:53$
• D. $52:55$

Answer 1

The correct option is B $52:53$

Let the C.P be $x$

Then S.P for $4\%$ profit $=\frac{104\times x}{100}$

S.P for $6\%$ profit $=\frac{106x}{100}$

Then according to the question, we have

$\Rightarrow \frac{106x}{100}-\frac{104x}{100}=3$

$\Rightarrow 2x=300$

$\Rightarrow x=$ Rs. $150$

Then S.P for $4\%$ profit $=\frac{104}{100}\times 150=$ Rs. $156$

S.P for $6\%$ profit $=\frac{106}{100}\times 150=$ Rs. $159$

Ratio of both S.P $=156:159=52:53$