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Question

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


Options:
A .  13%
B .  14%
C .  15%
D .  16%
Answer: Option A

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 208)/(800 xx 2))`% = 13%



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