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

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

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S.I. for 1 ½ years = Rs.(1164-1008) = Rs.156. 

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

Principal = Rs. (1008 - 208) = Rs. 800. 

Now, P = 800, T = 2 and S.I. = 208. 

Rate =(100* 208)/(800*2)% = 13%

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