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Kanika took a loan of Rs10,000 for 2 years on compound interest at the rate of 5% per annum, interest being compounded
annually. How much money would she have saved if she had taken the loan on simple interest?
Rs1,025
Rs1,000
Rs25
Rs400
- Compound Interest Calculation:
- Formula: A = P(1 + r/n)^(nt)
- P = Rs10,000, r = 5% or 0.05, t = 2 years, n = 1 (compounded annually)
- A = 10,000(1 + 0.05)^2
- A = 10,000 * 1.1025 = Rs11,025
- Simple Interest Calculation:
- Formula: A = P + Prt
- A = 10,000 + 10,000 * 0.05 * 2
- A = 10,000 + 1,000 = Rs11,000
- Difference in Interest Amounts:
- Compound = Rs11,025 - Principal = Rs1,025
- Simple = Rs11,000 - Principal = Rs1,000
- Saved by choosing simple interest = Rs1,025 - Rs1,000 = Rs25
- Correct Option: Option 3
-
By: santosh ProfileResourcesReport error
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