Question

In an office, the ratio of the salary of an officer to that of a clerk is $30:7$. If the salary of the clerk is Rs. $14,375$ less than that of the officer then what is the salary of the officer?

• A. Rs $15,600$
• B. Rs $18,625$
• C. Rs$17,650$
• D. Rs $18,750$

Answer 1

The correct option is D Rs $18,750$

Let's assume salary of an officer $=x$
and salary of an clerk $=y$
As per question,
$\frac{x}{y}=\frac{30}{7}$
$7x=30y$
$y=\frac{7x}{30}$
and $x-y=14375$
$x-\frac{7x}{30}=14375$
$\frac{23x}{30}=14375$
$x=18750$
Answer $D$