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Method and examples
Simple Interest
1. Find the simple interest on Rs 730 for 184 days at 25/4 % per annum.
2. Find the simple interest on Rs 4660 for 5 years at 7/2 % per annum.
3. The interest on a certain amount of money at 8 % per year for a period of 4 years is Rs 512 . Find the sum of money.
4. Simple Interest on Rs 972 at 14 % per annum for a certain time is Rs 476.28 . Find the time ?
5. Simple Interest on Rs 972 at a certain rate % per annum for 3.5 years is Rs 476.28 . Find the rate ?
6. A sum of money lent at simple interest amounts to Rs 1008 in 2 years and to 1112 in 3 years.Find the sum and the rate of inte ...
7. What sum of money lent out at simple interest at 9 % p.a. for 3/2 years will produce the same interest as Rs 2250 lent at 6 % ...
8. A man puts out Rs 500 for 4 years on simple interest and Rs 600 for 3 years. The total interest he receives is Rs 190 . What ...
9. A sum was put at simple interest at a certain rate for 2 years. Had it been put at 3 % higher rate, it whould have fetched Rs ...
10. Divide Rs 16875 into two parts such that the interest at 7/2 % p.a. for 2 years on one part is equal to the other at 4 % p.a. ...
11. A shopkeeper borrowed Rs 20000 from two money lendeRs For one loan he paid 12 % and for the other 14 % per annum. After 1 yea ...
12. At what rate percent per annum will sum of money double in 8 years?
13. Rajeev deposited money in the post office which is doubled in 20 years at a simple rate of interest. In how many years will t ...
Problem 10 of 13
10. Divide Rs
into two parts such that the interest at
% p.a. for
years on one part is equal to the other at
% p.a. for
years.
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Simple Interest
10. Divide Rs 16875 into two parts such that the interest at 7/2 % p.a. for 2 years on one part is equal to the other at 4 % p.a. for 5 years.
Let the Principal of one part = `X` Rs
The Principal of second part = `( 16875 - X )` Rs
For one part, `P = X` Rs, `R = 7/2 %, N = 2` years
`SI = (P*R*N)/100`
`SI = ( X * 7/2 * 2 ) / 100 = (7 * X)/100 ->(1)`
Now for second part, `P = ( 16875 - X ) Rs, R = 4 %, N = 5` years
`SI = (P*R*N)/100`
`SI = (( 16875 - X ) * 4 * 5 ) / 100 = (20 * ( 16875 - X ))/100 ->(2)`
Interest is the same as `(1) = (2)`
`=> (7 * X)/100 = (20 * ( 16875 - X ))/100`
`=> 7 X = 20 * ( 16875 - X )`
`=> 7 X = 20 * 16875 - 20 X`
`=> 27 X = 20 * 16875`
`=> X = (20 * 16875) / 27`
`=> X = 12500`
`:.`One part of Principal = Rs `12500` and the second part = Rs `( 16875 - 12500 )` = Rs `4375`
The two parts are Rs `12500` and Rs `4375` .
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