Question

27. The compound interest accrued on an amount at
the end of 3 years @ 15 p.c.p.a. is * 6500.52. What
is the amount?
(S.B.I.P.O., 2008)
(a) 10500
(b) *12480
(c) 13620
(d) 14800
(e) None of these
L 100/
or

Answer 1

Answer:

here your answer..............

12480

Answer 2

The value of the amount is 12480  and option (b) is correct.

Step-by-step explanation:

Given:

15 % per annum for 3 years.

The compound interest accrued on an amount is 6500.52.

To Find:

The value of the amount.

Formula Used:

$CI = Y(1+\frac{Z}{100} )^{T} - Y$               ------------------formula no.01

Y= represents the original amount or initial amount

Z= is the annual interest rate(in percentage)

T= represents the number of years

CI= compound interest

Solution:

As given- 15% per annum for 3 years (compounded annually).

                 The compound interest accrued on an amount is 6500.52.

Putting the value  of  Z,T and CI in formula no.01.

$CI = Y(1+\frac{Z}{100} )^{T} - Y$

$6500.52 = Y(1+\frac{15}{100} )^{3} - Y$

$6500.52 = Y(\frac{115}{100} )^{3} - Y$

$6500.52 = Y({1.15}{} )^{3} - Y$

$6500.52 = Y[({1.15}{} )^{3} - 1]$

$6500.52 = Y[({1.520875 - 1]$

$6500.52 = Y \times 0.520875$

$Y=\frac{6500.52}{0.520875}$

$Y=12480$

 Thus, the value of the amount   is 12480  and option (b) is correct.