There are 49 members in group A, 35 members in group B and 31 members in group C. All the members of these groups went to a restaurant. The average amount spent on each member of group A, B and C is Rs. 106, Rs. 141 and Rs. 226, respectively. The total average amount (in Rs. ) spent per member is:

Correct option is D

Given:
Number of members in group A = 49
Number of members in group B = 35
Number of members in group C = 31
Average amount spent per member of group A = Rs. 106
Average amount spent per member of group B = Rs. 141
Average amount spent per member of group C = Rs. 226
Formula Used:
​$$\text{Total Average} = \frac{\text{Total expenditure of A} + \text{Total expenditure of B} + \text{Total expenditure of C}}{\text{Total number of members in A, B, and C}}$$​​
Solution:
Total expenditure of group A = 49 × 106 = 5194
Total expenditure of group B = 35 × 141 = 4935
Total expenditure of group C = 31 × 226 = 7006
Total expenditure = 5194 + 4935 + 7006 = 17135
Total number of members = 49 + 35 + 31 = 115
Total Average =$$\frac{17135}{115}$$​  = 149
Thus, the total average amount spent per member is Rs. 149