Dhruba Dasgupta
10 years ago

An amount of Rs. 12820 due 3 years hence, is fully repaid in three annual installments staring 1 year. The first installment is 1/2 the second installment and the second installment is 2/3 of the third installment. If the rate of interest is 10% per annum, find the first installment?

A. 2400

B. 1800

C. 2000

D. 2500


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  1. Kumar Chandan
    Kumar Chandan:
    10 years ago

    Installments in the ratio 1:2:3.
    So,
    1x(1 + 10/100)^2 + 2x(1 + 10/100) + 3x = 12820.
    x (1.1)^2+ 2x * 1.1 + 3x = 12820.
    1.21x + 2.2x + 3x = 12820
    6.41x = 12820.
    x = 12820/6.41 = Rs. 2000.
    The Installment would be Rs. 2000.

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