Ramesh and Suresh both wanted to lend some money to make some profit. Ramesh has Rs. 5000 and Suresh has Rs 4000 .the term interest was 3 years. set the interest for both of them so that Suresh makes more profit than ramesh
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Given:
Ramesh has Rs. 5000 and Suresh has Rs 4000 .the term interest was 3 years.
Both wanted to lend some money to make some profit.
To Find:
The interest for both of them so that Suresh makes more profit than ramesh.
Solution:
Let a be the rate of interest for Suresh and b be the rate of interest for Ramesh.
Lets take Simple interest.
- A = P ( 1 + rt )
- A = final amount
- P = Principal amount
- r = rate of interest
- t = time in years
Therefore ,
- Profit = A - P = Prt
For Suresh to have more profit than Ramesh,
- Profit ( Suresh) > Profit ( Ramesh )
- 4000 x a x 3 > 5000 x b x 3
- a > 5b/4
Let interest rate of Ramesh be 8% .
Then rate of interest of Suresh should be,
- a > 5 x 8/4
- a > 10%
The interest rate for Suresh shoudd be 12% and Ramesh can be 8%.
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