A sum of Rs. 12,000 amounts to Rs. 15,000 in 4 years at the rate of simple…
2025
A sum of Rs. 12,000 amounts to Rs. 15,000 in 4 years at the rate of simple interest. Find the rate of interest.
- A.
6.25 %
- B.
6.28 %
- C.
6.20 %
- D.
6.85 %
Attempted by 18 students.
Show answer & explanation
Correct answer: A
Step-by-Step Solution
To find the rate of simple interest, follow these steps:
Calculate the Simple Interest (S.I.):
Principal (P) = Rs. 12,000
Amount (A) = Rs. 15,000
Time (T) = 4 years
Simple Interest = Amount - Principal = 15,000 - 12,000 = Rs. 3,000
Use the rate formula:
The formula for the rate of interest is Rate = (100 * S.I.) / (P * T)
Rate = (100 * 3,000) / (12,000 * 4)
Perform the calculation:
Rate = 300,000 / 48,000
Rate = 300 / 48
Rate = 6.25%