Question:A certain sum of money amounts to Rs. 1008 in 2 years and to Rs 1164 in` 3 2/1` years. Find the sum and the rate of interest. 

Answer S.I. for` 1 1/2` years = Rs. (1164 - 1008) = Rs 156.

S.I. for 2 years` = Rs.(156 xx 2/3 xx 2) = Rs. 208`

:. principal` = Rs. (1008 - 208) = Rs. 800`

Now, P = 800, T = 2 and S.I. = 208

:. Rate` = ((100 xx S.I)/(P xx T))`

  `= ((100 xx 208)/(800 xx 2))%`

` = 13%` 

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