Rakib, Raja and Rajib paid a total of 369 taka for their dinner at a restaurant. If Rakib paid 2/3 of the total amount, Raja paid 82 taka, and Rajib paid the rest, What fraction of the total amount did Rajib pay ? 

A  1/9 

B  1/3 

C  39/82 

D  82/369 

Solution

Correct Answer: Option A

Solution:  Raja paid = 82 taka, 

              Rakib paid = 369 \( \times \) 2/3 = 246 

             Rajib paid = 369 - (246+82)  = 369 - 328 = 41 

     So, Rajib's payment part on total cost = 41/369 = 1/9 

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