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The banker's discount on a sum of money for 1 1/2years is Rs. 558 and the true discount on the same sum for 2 years is Rs. 600. The rate percent is:

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1. 

The banker's discount on a sum of money for 11-div-1by2years is Rs. 558 and the true discount on the same sum for 2 years is Rs. 600. The rate percent is:

[A]. 10%
[B]. 13%
[C]. 12%
[D]. 15%

Answer: Option C

Explanation:

 

B.D. for  years = Rs. 558.
B.D. for 2 years
= Rs. 1-sym-oparen-h1 558 x 2 x 2 1-sym-cparen-h1
3
  = Rs. 744

T.D. for 2 years = Rs. 600.

 Sum = B.D. x T.D. = Rs. 1-sym-oparen-h1 744 x 600 1-sym-cparen-h1 = Rs. 3100.
B.D. - T.D 144

Thus, Rs. 744 is S.I. on Rs. 3100 for 2 years.

 Rate = 1-sym-oparen-h1 100 x 744 1-sym-cparen-h1% = 12%
3100 x 2
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