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

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Rs.32,500

Rs.27,500

Rs.27,250

Rs.30,000

answer is D.

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Detailed Solution

Concept- Take the initial salary and increment as x and p. Find two equations containing the variables x and p that satisfy the given conditions. Determine x and p. Find the salary after ten years, knowing the initial salary and increment.
Consider the fixed salary be

and the yearly increment as

.
After 2 years, the increment will be 2p.
Thus, the salary after 2 years will be

….(1)
After 4 years, increment will be

.
Thus, the salary after 4 years will be

…..(2)
When dividing (1) and (2) , we get

and

Therefore, the salary after 10 years will be

Hence, the correct answer is option 4) Rs.30,000.

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