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There are 30 members in group A, 76 members in group B and 44 members in group C. All the members of these groups went to a restaurant. The average am
Question

There are 30 members in group A, 76 members in group B and 44 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. 249, Rs. 168 and Rs. 498, respectively. The total average amount (in Rs. ) spent per member is:

A.

284

B.

282

C.

281

D.

279

Correct option is C

Given:
Group A: 30 members, Avg = Rs. 249
Group B: 76 members, Avg = Rs. 168
Group C: 44 members, Avg = Rs. 498
Formula Used:
Total Average = Total amount spentTotal number of members \frac{\text{Total amount spent}}{\text{Total number of members}}​​
Total amount spent = (Members × Average) for each group
Solution:
Total amount spent =30×249+76×168+44×498=7470+12768+21912=42150= 30 \times 249 + 76 \times 168 + 44 \times 498= 7470 + 12768 + 21912 = 42150​​
Total members = 30 + 76 + 44 = 150
Total average=42150150=281 \frac{42150}{150} = 281​​

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