A sum of money amounts to ₹4,624 in 2 years and to ₹4,913 in 3 years at a certain rate of interest, when interest is compounded per annum. The sum is _______.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. ₹4,096
Given:
Amounts in
2 years = ₹4,624
3 years = ₹4,913
Explanation:
According to the given question,
Year gap is 1 year, so rate % = = 6.25 % = 1/16
Now let the principle be 16x then amount be 17x
P A
16x 17x
256x2 289x2
In the given question, 289x2 = 4624 ⇒ x = 4
So, 256x2 = 256 × 16 = 4,096
Hence the required answer is ₹4,096.