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Compound Interest
1. Calculate Compound Interest and amount on Rs 4500 at 10 % per annum in 3 years.
2. Calculate Compound Interest and amount on Rs 625 for 2 years at 9 %, compounded half-yearly.
3. Calculate Compound Interest on Rs 8000 for 9 months at 20 % per annum, compounded quartely .
4. What sum of money becomes Rs 9261 in 3 years at 5 % per annum, compounded annually ?
5. What will Rs 25000 amounts to in two years at Compound Interest if the rates for successive years be 4 % and 5 % per year.
6. A sum of money amounts to Rs 6690 after 3 years and to Rs 10035 after 6 years on compound interest. Calculate the sum of mone ...
7. A man borrows Rs 2500 at 5 % simple interest for 2 years. He immediately lends this money at compound interest at the same ra ...
8. The difference between the compound interest and the simple interest on a certain sum at 10 % per annum for 2 years is Rs 52 ...
9. If the compound interest on a certain sum for 3 years at 10 % per annum be Rs 331 , what would be the simple interest ?
10. A sum of money 2 times itself at compound interest in 15 years. In how many years, it will become 8 times of itself ?
Problem 8 of 10
8. The difference between the compound interest and the simple interest on a certain sum at
% per annum for
years is Rs
. Find the sum.
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Compound Interest
8. The difference between the compound interest and the simple interest on a certain sum at 10 % per annum for 2 years is Rs 52 . Find the sum.
Here `R = 10 %, N = 2` years and `CI - SI = 52` .
Let the sum be Rs `X`. Then,
`SI = (P*R*N)/100 = (X * 10 * 2) / 100 = 0.2 X`
`CI = P (1 + R/100)^N - P`
`= X ( 1 + 10 / 100 ) ^ 2 - X`
`= X ( 110 / 100 ) ^ 2 - X`
`= X (( 110 / 100 ) ^ 2 - 1 )`
`= 0.21 X`
`:. CI - SI = 0.21 X - 0.2 X = 0.01 X`
So, `0.01 X = 52`
=>` X = 5200` .
Hence, Sum = Rs `5200`.
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