A man invested a sum at a certain rate of interest on simple interest and he got 60% more amount
after eight year. If he invests Rs. 9600 at the same rate of interest on SI, then find the total interest he
would get after four years?

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Accepted Answer

**Solution:**

1. Let the principal amount invested by the man be $100x$.

2. Since he received 60\% more than the principal after 8 years, the total amount becomes:
   
   Amount = 100x + 60% x 100x = 160x

3. Let the rate of interest be $r\%$ per annum.

4. Using the simple interest formula:
   
   Simple Interest = (P x r x t)/100

Here, $P = 100x$, $t = 8$ years, and interest earned is $160x - 100x = 60x$.

So,
   
-> (100 x r x 8)/100 = 60x   
-> 8r = 60  
-> r = 7.5%

5. Now, if Rs. 9600 is invested at the same rate for 4 years, the interest earned will be:

Interest = (9600 x 7.5 x 4)/100 = 2880

**Answer:** Rs. 2880

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