A sum of Rs. 2400 deposited at CI, doubled after 5 years.

A sum of Rs. 2400 deposited at CI, doubled after 5 years.
Posted on 28-04-2023

Ques - A sum of Rs. 2400 deposited at CI, doubled after 5 years. After 20 years it will become :

(a) Rs. 24000

(b) Rs. 38400

(c) Rs. 19200

(d) Can't determine

Solution - 

Given,

A = 4800

P = 2400

T = 5

A = P (1 + (r/100))n

4800 = 2400 (1 + (r/100))5

4800/2400 = (1 + (r/100))5

2 = 1 + (r/100)5

After 20 years,

(2)4 = [1 + (r/100)5]4

16 = 1 + (r/100)20

Thus,

The amount becomes 16 times.

So,

= P × 16

= 2400 × 1600

= 38400

Hence,

The correct answer is option (b) Rs. 38400.

Thank You