The simple interest on sum at 6% per annum for 2 years is 180. find the amount for 2 year at same rate of interest when compounded annually.
1. 1785.40
2. 1585.40
3. 1885.40
4. 1685.40
1. 1785.40
2. 1585.40
3. 1885.40
4. 1685.40
Correct Answer – Option 4 : 1685.40
Given:
Simple interest for 2 years at 6% per annum is 180.
Concept:
SI = (P × R × T)/100
A = P(1 + r/100)n
Here, N is the number of terms in the year.
Calculation:
The simple interest is
⇒ 180 = (P × 6 × 2)/100
⇒ P = 1500 rupee
Now, When interest is compounded annually, then the amount is
⇒ 1500(1 + 6/100)2
⇒ 1500 × 106/100 × 106/100
⇒ 1685.40
∴ when interest is compounded annually then the amount is 1685.40 rupee.