Aptitude Question ID : 103661

A certain sum of money amounts to 756 Rs. in 2 years and to 873 Rs. in $latex 3\frac{1}{2}&s=1$ years at a certain rate of simple interest. The rate of interest per annum is :
[A]10%
[B]11%
[C]12%
[D]13%

13%
S.I. for $latex 1\frac{1}{2}&s=1$ years = (873 – 756) = 117 Rs.
S.I. for 2 years $latex = \left ( 117\times \frac{2}{3}\times 2 \right ) = 156\ Rs.&s=1$
∴ Principal = 756 – 156 = 600 Rs.
Now, P = 600, T = 2. S.I. = 156
$latex \therefore R = \frac{100\times S.I.}{P\times T}&s=1$
$latex = \frac{100\times 156}{600\times 2} = 13\%&s=1$
Hence option [D] is correct answer.


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