High School

Subba Rao started work in 1995 at an annual salary of Rs 5000 and received an increment of Rs 200 each year. After how many years did his income reach Rs 7000?

A. 10
B. 11
C. 12
D. 13

Answer :

Final answer:

Subba Rao's income reached Rs 7000 after 10 years, starting from a salary of Rs 5000 with an increment of Rs 200 each year. So the correct answer is Option A. 10.

Explanation:

Subba Rao's initial salary in 1995 was Rs 5000 and it increased by Rs 200 each year. To calculate after how many years his income reached Rs 7000, we can set up an equation wherein the initial salary plus the increment multiplied by the number of years equals the final salary.

Mathematically, this is represented as:
Initial Salary + (Increment × Number of Years) = Final Salary
5000 + 200n = 7000

If we solve for 'n', we subtract 5000 from both sides to get:
200n = 2000

Now, divide both sides by 200 to find 'n':
n = 2000 / 200
n = 10

Therefore, Subba Rao's income reached Rs 7000 after 10 years. Hence, the correct option in the final answer is A. 10.