Question

11. At a certain rate % Rs 4000 amounts to Rs 5000 in 4 years on Compound Interest. Find the amou
for the same sum after 8 years?
(1) 6250
(2) 1250 (3) 3750
(4) 3375 (5) None of these​

Answer 1

Step-by-step explanation:

Let the rate of interest is r% p.a.

A= P.(1+r/100)^t.

5000 = 4000.(1+r/100)^4.

or , (1+r/100)^4 = (5/4) …………………..(1)

A = 4000.(1+ r/100)^12.

= 4000.{ (1+r/100)^4}^3. , putting (1+r/100)^4 = 5/4 from eqn. (1).

= 4000.{ 5/4 }^3.

= (4000×125)/64.

= (125×125)/2. = ₹ 7812.50. , Answer.