A sum of money becomes ₹4400 in 4 years at 5% per annum simple interest. Find the principal.
Class 7Comparing QuantitiesComparing Quantities
A₹3666.67
B₹4000
C₹3520
D₹3800
Step-by-Step Solution
Amount = P+100P×5×4=P+0.2P=1.2P. So 1.2P=4400 → P=1.24400 = ₹3666.67.
Answer: A) ₹3666.67
Key idea: Simple interest
When you lend (or borrow) money, the borrower pays the lender extra for the use of the money — that extra is **interest**. **Simple interest** is calculated only on the original principal, not on past interest.
**SI=100P×R×T**
where P = principal (₹), R = rate per annum (% per year), T = time in years.
Example: ₹2000 at 5% for 3 years: SI = 1002000×5×3=300. Total amount A=2000+300 = ₹2300.
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