The compound interest on ₹10,000 at 20% per annum is ₹4,641. If the compounding is done half-yearly, then for how many years was the sum invested?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 2.
Given that
C.I on 10000 at 20% per annum compounded half yearly = 4641
Hence the total amount = 14641
Formula used
Amount = P (1 + )2n
Substituting the value we get
⇒ 14641 = 10000(1 + 10/100)2n
Solving for n we get
⇒ =()n
Hence n = 2
Hence, the sum was invested for 2 years.