Question

Hello! Please answer this maths question of compound interest.​

Answer 1

Answer:

726

Step-by-step explanation:

(i)

Amount after 1 year on 9600 at 5% interest half-yearly.

We have, P = 9600, R = 5%, n = 1 year.

= P(1 + r/200)²ⁿ

= 9600(1 + 5/200)²

= 9600(1 + 1/40)²

(ii)

Amount after (1/2) year on rs.9600 at 5% half-yearly.

We have, P = 9600, n = (1/2), R = 5%.

= P(1 + r/200)²ⁿ

= 9600(1 + 5/200)²ⁿ

= 9600(1 + 1/40)

Amount after 1 year:

= 9600(1 + 1/40)² + 9600(1 + 1/40)

= 9600(41/40)² + 9600(41/40)

= 9600(41/40)[1 + 41/40]

= 9600(41/40)(81/40)

= 19926.

∴ Compound Interest = A - P

                                    = 19926 - 19200

                               = 726.

Note: Your Options are wrong.

Hope it helps!