SSC MTS 2 Aug 2019 Shift 2 Paper

Question : 43 of 100

Marks: +1, -0

If after two years a sum becomes Rs. 4000 and after four years it becomes Rs. 6000 at the same rate of compound interest (compounded annually), then what is the sum?

Rs. 2866.66
Rs. 2666.66
Rs. 2777.77
Rs. 2888.88

Validate

Solution:

For compound interest,
A = P (1 + r/100)

^\t

⇒ 4000 = P(1 + r/100)

^2

---- (1)
⇒ 6000 = P (1 + r/100)

^4

---- (2)
From (2) /(1),
⇒ 3/2 = (1 + r/100)

^2

From (1)
⇒ 4000 = P × 3/2
⇒ P = 8000/3 = 2666.66 रु.
∴ The sum is Rs. 2666.66

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