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There are 44 members in group A, 26 members in group B and 45 members in group C. All the members of these groups went to a restaurant. The average am
Question

There are 44 members in group A, 26 members in group B and 45 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. 403, Rs. 383 and Rs. 228, respectively. The total average amount (in Rs. ) spent per member is:

A.

330

B.

334

C.

329

D.

327

Correct option is A

Given:
Members in Group A = 44, Average spent = ₹403
Members in Group B = 26, Average spent = ₹383
Members in Group C = 45, Average spent = ₹228
Formula Used:
Overall Average=Total Amount SpentTotal Members\text{Overall Average} = \frac{\text{Total Amount Spent}}{\text{Total Members}}​​
Solution:
Total amount spent by each group = 44 × 403 + 26 × 383 +45 × 228
Total amount spent by each group = 17732 + 9958+ 10260 = 37950
Total members = 44 + 26 + 45 = 115
Average amount per member = 37950115\frac{37950}{ 115}​ = 330

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