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A sum of money was lentin two parts in the ratio 4 : 5 for 4 years and 5 years respectively, both at the rate of 8% per annum simple interest. If the difference between the interests earned from the twoparts is Rs 4680, then what was the total sum lent(in Rs)?
538500
42120
46800
65000
Correct option is 1:58500.
- Let's assume the total sum lent is Rs x.
- The sum lent in two parts is in the ratio of 4:5.
- Let the first part be 4x/9 and the second part be 5x/9.
- Interest for the first part over 4 years at 8% per annum = (4x/9) * 8% * 4.
- Interest for the second part over 5 years at 8% per annum = (5x/9) * 8% * 5.
- Difference in interests = 4680.
Let's calculate:
- Interest from the first part = (4x/9) * (8/100) * 4 = (128x/900).
- Interest from the second part = (5x/9) * (8/100) * 5 = (200x/900).
- Difference = (200x/900) - (128x/900) = 4680.
- Solve: 72x/900 = 4680; x = 4680 * (900/72) = 58500.
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