Question

A person got a job with a fixed salary and a certain yearly increment. After 2 year his salary was Rs. 10,000 and after 4 years it was Rs. 15,000. Find his salary after 10 years.

• A. Rs. $32,500$
• B. Rs. $27,500$
• C. Rs. $27,250$
• D. Rs. $30,000$

Answer 1

The correct option is D Rs. $30,000$

Let the fixed salary be $x$ and the yearly increment be $p$%

after 2 years increment will be 2p so

The salary after $2$ years will be $x(1+\frac{2p}{100})=10,000$

after 4 years increment will be 4p so

The salary after $4$ years will be $x(1+\frac{4p}{100})=15,000$

By dividing both , we get $p=50$ and $x=5,000$

The salary after $10$ years will be $5,000(1+\frac{500}{100})=30,000$

The correct option is $D$