The CI on Rs.9500 for 3 years at 5% for first year, 7% for second year, 10% for the third year will be?Rs.2560.48Rs.2340.67Rs.2240.57Rs.2241.67
Question
The CI on Rs.9500 for 3 years at 5% for first year, 7% for second year, 10% for the third year will be?Rs.2560.48Rs.2340.67Rs.2240.57Rs.2241.67
Solution
To calculate the compound interest (CI) on Rs.9500 for 3 years with different interest rates for each year, we need to apply the formula for compound interest for each year separately and then add them up.
The formula for compound interest is:
A = P (1 + r/n)^(nt)
Where: A = the amount of money accumulated after n years, including interest. P = principal amount (the initial amount of money) r = annual interest rate (in decimal) n = number of times that interest is compounded per year t = time the money is invested for in years
However, since the interest rate changes each year, we will calculate the interest for each year separately.
- For the first year, the interest rate is 5%. So, the amount after the first year will be:
A1 = 9500 * (1 + 5/100) = 9500 * 1.05 = Rs.9975
- For the second year, the interest rate is 7%. So, the amount after the second year will be:
A2 = 9975 * (1 + 7/100) = 9975 * 1.07 = Rs.10673.25
- For the third year, the interest rate is 10%. So, the amount after the third year will be:
A3 = 10673.25 * (1 + 10/100) = 10673.25 * 1.1 = Rs.11740.575
So, the compound interest for the 3 years will be the final amount minus the initial principal:
CI = A3 - P = 11740.575 - 9500 = Rs.2240.575
So, the closest answer is Rs.2240.57.
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