A sum of money becomes Rs.6690 after three years and Rs.10.035 after six years

Question

A sum of money becomes Rs.6690 after three years and Rs.10.035 after six years on compound interest. The sum is?

Options:

A . Rs.4400

B . Rs.4445

C . Rs.4460

D . Rs.4520

Answer: Option C

Sum be P
P(1 + R/100) ³ = 6690 - (i)
P(1 + R/100) ² = 10, 035 - (ii)
By dividing (i) and (ii)
(1 + R/100) ³ = 10035/6690 = 3/2
Therefore, P = (6690 x 2/3) = Rs. 4460

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