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### Discussion :: True Discount

1. Goods were bought for Rs. 600 and sold the same for Rs. 688.50 at a credit of 9 months and thus gaining 2% The rate of interest per annum is:

2.  A. 16$$\frac { 2 } { 3 }$$% B. 14$$\frac { 1 } { 2 }$$% C. 13$$\frac { 1 } { 3 }$$% D. 15%

Explanation :

Now, P.W. = Rs. 612 and sum = Rs. 688.50.

T.D. = Rs. (688.50 - 612) = Rs. 76.50.

Thus, S.I. on Rs. 612 for 9 months is Rs. 76.50.

Rate =$$[\frac { 100*76.50 } {612 *3/4} ]$$%=16$$\frac { 2 } { 3 }$$%

 S.P. = 102% of Rs. 600 = 102 x 600 = Rs. 612. 100

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