Question

A man starts his job with a certain monthly salary and a fixed increment every year. If his salary will be Rs. $11000$ after $2$ years and Rs. $14000$ after $4$ years of his service. What is his starting salary and what is the annual increment?

• A. Starting salary is Rs. $7500$ and increment is Rs. $2500$
• B. Starting salary is Rs.$5000$ and increment is Rs. $1800$
• C. Starting salary is Rs. $8000$ and increment is Rs. $1500$
• D. Starting salary is Rs. $7000$ and increment is Rs. $1300$

Answer 1

The correct option is C Starting salary is Rs. $8000$ and increment is Rs. $1500$

Let starting salary $=x$

Increment every year $=y$

$x+2y=11,000$ ....... eq(1)

$x+4y=14,000$ ......eq(2)

Substract eq(1) from eq(2)

$2y=3,000y=1500$

Substitute $y=1500$ in eq(1), we get $x=11,000-3,000$

$x=8,000$

starting salary$=8,000$

Increment $=1500$