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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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