find the rate at which rs.4000 will give rs.630.50 as compound interest in 1 year, interest being compounded quarterly.
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Given Principal P = 4000, n = 1 year. Given that the interest compounded quarterly, Compound Interest CI = 630.50.
We know that A = P + CI
= 4000 + 630.50
= 4630.5
We know that A = P(1 + r/100)^4n
4630.5 = 4000(1 + R/100 * 4)^4 * 1
4630.5 = 4000(1 + R/400)^4
4630.5/4000 = (1 + R/400)^4
1.1576 = (1 + R/400)^4
(1.1576)^1/4 = (1 + R/400)
1.0372 = (1 + R/400)
1.0372 - 1 = R/400
0.0372 = R/400
R = 14.8%.
Therefore the Rate = 14.8%.
Hope this helps!
We know that A = P + CI
= 4000 + 630.50
= 4630.5
We know that A = P(1 + r/100)^4n
4630.5 = 4000(1 + R/100 * 4)^4 * 1
4630.5 = 4000(1 + R/400)^4
4630.5/4000 = (1 + R/400)^4
1.1576 = (1 + R/400)^4
(1.1576)^1/4 = (1 + R/400)
1.0372 = (1 + R/400)
1.0372 - 1 = R/400
0.0372 = R/400
R = 14.8%.
Therefore the Rate = 14.8%.
Hope this helps!
simmi65:
bt i don't undrstnd why we take 4 two time r/100*4 and 4*1
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