If the compound interest on a certain sum of money for two years at 9% p.a. is Rs 3,762, then the sum is:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. Rs. 20000
The compound interest on a certain sum of money for two years at 9% p.a. is Rs. 3,762.
In the case of the compound interest, Amount = P(1 + R/100)N
CI = P(1 + R/100)N - P (where P = Principal, R = Rate of interest per year, N = Time in years)
Let the sum be Rs. P.
According to the question -
P(1 + 9/100)2 - P= 3762
P(1.092) - P= 3762
1.1881P - P = 3762
0.1881P = 3762
P = 3762/0.1881
P = 20,000