a sum of money amounts to rs 13230 in 1 year and rs 13891.50 in 1.5 year at compound intrest compounded semi anually. Find the sum and the rate of intrest per anum.

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Arun · Answer

let the sum = p rate of interest = r % A 1 = 13230 A 2 = 13891.50 rate of interest in half yearly will be = r/2 % (conversion period) as the amount is invested for 1 year and 1.5 years so conversion are 2 and 3 A = P(1 + r/100)^n 13230 = P(1 + r/200)^2 …..........(i) 13891.5 = P(1 + r/200)^3 …...........(ii) divide (ii) by (i) 1 + r/200 = 1.05 r/200 = .05 r = 10 % put the value of r in (i) or (ii) – P = 12000 rupees

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a sum of money amounts to rs 13230 in 1 year and rs 13891.50 in 1.5 year at compound intrest compounded semi anually. Find the sum and the rate of intrest per anum.

a sum of money amounts to rs 13230 in 1 year and rs 13891.50 in 1.5 year at compound intrest compounded semi anually. Find the sum and the rate of intrest per anum.

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