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There are 38 members in group A, 31 members in group B and 52 members in group C. All the members of these groups went to a restaurant. The average am
Question

There are 38 members in group A, 31 members in group B and 52 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. 375, Rs. 309 and Rs. 298, respectively. The total average amount (in Rs. ) spent per member is:

A.

330

B.

329

C.

325

D.

327

Correct option is C

Given:

Group A: 38 members, average = ₹375

Group B: 31 members, average = ₹309

Group C: 52 members, average = ₹298

We are to find the overall average amount spent per member.

Formula Used:

Total average = Total amount spent by all groupsTotal members of all groups\frac{\text{Total amount spent by all groups}}{\text{Total members of all groups}}​​

Solution:

Total amount = (38 × 375) + (31 × 309) + (52 × 298)

= 14,250 + 9,579 + 15,496

= ₹39,325

Total members = 38 + 31 + 52 = 121

Now,

Average = 39325121\frac{39325}{121}​ = ₹325

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