Math, asked by simmi65, 1 year ago

find the rate at which rs.4000 will give rs.630.50 as compound interest in 1 year, interest being compounded quarterly.

Answers

Answered by saumyaojha24
40
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!

simmi65: bt i don't undrstnd why we take 4 two time r/100*4 and 4*1
saumyaojha24: rate to number so divided by 100 in 4 quarters so *4
saumyaojha24: and 4*1 is the power.... don't you know those rules of interest
simmi65: u copied the ans it's already answered by someone i just has a look
simmi65: if this is power so we don't use it to divide on other side
simmi65: i think u don't know tge the rules bro
saumyaojha24: yeahhh.... im explaining you.... i checked the answer so i gave you know
simmi65: hmm
simmi65: anyways thnks
saumyaojha24: you don't understand ....how caan i do so big calculations on my own
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