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A lent Rs. 5000 to B for 2 years and Rs. 3000 to C for 4 years on simple interest at the same rate of interest and received Rs. 2200 in all from both of them as interest. The rate of interest per annum is:

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1. 

A lent Rs. 5000 to B for 2 years and Rs. 3000 to C for 4 years on simple interest at the same rate of interest and received Rs. 2200 in all from both of them as interest. The rate of interest per annum is:

[A]. 5%
[B]. 7%
[C]. 7 1/8 %
[D]. 10%

Answer: Option D

Explanation:

Let the rate be R% p.a.

Then, 1-sym-oparen-h1 5000 x R x 2 1-sym-cparen-h1 + 1-sym-oparen-h1 3000 x R x 4 1-sym-cparen-h1 = 2200.
100 100

 100R + 120R = 2200

 R = 1-sym-oparen-h1 2200 1-sym-cparen-h1 = 10.
220

 Rate = 10%.

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