Question

divide Rs 18050 in three parts so that at simple interest of 10%p.a. the amounts become equal in 3, 4 and 10 years​

Answer 1

Step-by-step explanation:

Let us divide the amount of Rs 18050 into three parts A, B and C.

A+ B + C = 18050

Each part grows up to sane amount after 3, 4 and 10 years respectively with a growth of 10% per year.

So A*(1.1)^3 = B*(1.1)^4 = C*(1.1)^10

1.331A = 1.4614B = 2.5937C

If A is 100, B = 100*1.331/1.4614 = 91

and C = 100 *1.331/2.5937 = 51.3

In other words A = 100/(100+91+51.3) of 18050 = 7452

B = 91/100 * 7450 = 6774

C = 18050 - 7452 - 6774 = 3824

Answer 2

Answer:

Let us divide the amount of Rs 18050 into three parts A, B and C.

A+ B + C = 18050

Each part grows up to sane amount after 3, 4 and 10 years respectively with a growth of 10% per year.

So A*(1.1)^3 = B*(1.1)^4 = C*(1.1)^10

1.331A = 1.4614B = 2.5937C

If A is 100, B = 100*1.331/1.4614 = 91

and C = 100 *1.331/2.5937 = 51.3

In other words A = 100/(100+91+51.3) of 18050 = 7452

B = 91/100 * 7450 = 6774

C = 18050 - 7452 - 6774 = 3824