Discussion :: True Discount

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:
Answer : Option A
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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