A certain sum amounts to Rs. 7000 in 2 years and to Rs. 8000 in 3 years. Find the sum ?



A certain sum amounts to Rs. 7000 in 2 years and to Rs. 8000 in 3 years. Find the sum ?

A. Rs 6959.37

B. Rs 6459.37

C. Rs 5359.37

D. Rs 5759.37

Answer : C. Rs 5359.37...


Explanation :

    Amount = Rs. 7000, Time = 2 years
    Amount = Rs. 8000, Time = 3 years
    To calculate sum, we must first calculate rate of interest.
    Simple interest = PRN / 100

    S.I. on Rs. 7000 for 1 year = Rs. (8000 – 7000) = Rs. 1000
    1000 = 7000 × R × 1 / 100
    R = 11 23/7%
    Let sum be Rs. X
    7000 = P [ 1 + ( 100 / 7 × 100 ) ]2
    8 / 7 × 8 / 7 × P = 7000
    P = 5359.37


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