A sum of money, at compound interest, amounts to ₹8,100 in 5 years and to ₹ 8,748 in 6 years. Find amount in 4 years.
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Let P be the principal and R the rate of compound interest…
We have P x (1+R/100)^3 = 4818
P x (1+R/100)^6 = 7227
We can simplify that and write
(1+R/100)^6 / (1+R/100)^3 = 7227/4818 = 1.5
(1+R/100)^3 = 1.5
1+R/100 = cubic root of 1.5 = 1.1447
R/100 = 0.1447
R = 14.47 percent
P = 4818/1.5 = 3212 rupees
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