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What sum of money amounts to rupees 8700 in 3 years at the rate of 24 % per annum​

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Given:

Amount = 8700

Time = 3 years

Rate of interest = 24% per annum

To find:

The principal values.

Solution:

Formula for amount:


A=P\left(1+(r)/(100)\right)^t

Where, A is amount, P is principal, r is the rate of interest and t is the number of years.

Putting
A=8700,r=24,t=3, we get


8700=P\left(1+(24)/(100)\right)^(3)


8700=P\left(1+0.24\right)^(3)


8700=P\left(1.24\right)^(3)


8700=1.906624P

Divide both sides by 1.906624.


(8700)/(1.906624)=P


4563.0391729=P


P\approx 4563.04

Therefore, the principal value is about 4563.04.

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