Narmada deposits Rs 8000 which amounted to Rs. 9200 after 3 yrs of simple…
2025
Narmada deposits Rs 8000 which amounted to Rs. 9200 after 3 yrs of simple interest. Had the interest 2% more, she would get how much?
- A.
Rs. 9680
- B.
Rs. 9760
- C.
Rs. 9800
- D.
Rs. 9920
Attempted by 14 students.
Show answer & explanation
Correct answer: A
Step-by-Step Solution
Calculate Original Simple Interest:
Principal = Rs. 8000
Amount after 3 years = Rs. 9200
Simple Interest = Amount - Principal = 9200 - 8000 = Rs. 1200.
Determine Original Rate of Interest:
Using the formula: Simple Interest = (Principal * Rate * Time) / 100
1200 = (8000 * R * 3) / 100
1200 = 240 * R
R = 1200 / 240 = 5% per annum.
Calculate New Interest with 2% Increase:
New Rate = 5% + 2% = 7%
New Interest = (Principal * New Rate * Time) / 100
New Interest = (8000 * 7 * 3) / 100 = 80 * 21 = Rs. 1680.
Calculate Final Amount:
Total Amount = Principal + New Interest
Total Amount = 8000 + 1680 = Rs. 9680.