A sum of Rs 2,432 amounts to Rs 2,681.28 in 2 years at a certain rate per cent per annum, interest compounded yearly. What will be the simple interest (in Rs.) on the same sum for 4 years at double the same rate?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 1,064
Amount = Principle (1 + r/100)n
⇒ 2681.28 = 2432 (1 + r/100)2
⇒ 2681.28/2432 = [(100 + r)/100]2
⇒ 441/400 = [(100 + r)/100]2
√441/400 = (100 + r)/100
⇒ 21/20 = (100 + r)/100
⇒ 105 = 100 + r
⇒ r = 5%
Simple Interest on Rs.2432 at 10% p.a. for years.
⇒ SI = 2432 × 10/100 × 35/8