Question

A certain sum of money amounts to Rs. 1008 in 2 years and to Rs.1164 in 3 ½ years. Find the sum and rate of interests.



Options:
A .  700, 13%
B .  700, 15%
C .  800, 13%
D .  800, 15%
Answer: Option C

S.I. for 1½years = Rs.(1164-1008) = Rs.156
S.l. for 2 years = Rs.(156*(2/3)*2)=Rs.208
Principal = Rs. (1008 - 208) = Rs. 800
Now, P = 800, T = 2 and S.l. = 208
Rate =(100* 208)/(800*2)% = 13%




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