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There are 81 members in group A, 29 members in group B and 70 members in group C. All the members of these groups went to a restaurant. The average am
Question

There are 81 members in group A, 29 members in group B and 70 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. 467, Rs. 117 and Rs. 378, respectively. The total average amount (in Rs. ) spent per member is:

A.

375

B.

380

C.

376

D.

377

Correct option is C

Given:​
Group A: 81 members, Average = Rs. 467
Group B: 29 members, Average = Rs. 117
Group C: 70 members, Average = Rs. 378
Formula Used:
Total Average=Total Amount Spent by All GroupsTotal Members of All Groups\text{Total Average} = \frac{\text{Total Amount Spent by All Groups}}{\text{Total Members of All Groups}}​​
Solution:
Total amount spent by Group A = 81 × 467 = Rs. 37827
Total amount spent by Group B = 29 × 117 = Rs. 3393
Total amount spent by Group C = 70 × 378 = Rs. 26460
Total amount spent = 37827 + 3393 + 26460 = Rs. 67680
Total number of members = 81 + 29 + 70 = 180
Total Average = 67680180\frac{67680}{ 180}​ = Rs. 376
Therefore, the total average amount spent per member is Rs. 376.

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