Group Spending Details

Information provided for the three groups:

• Group A: 52 members, Average spending = ₹420
• Group B: 22 members, Average spending = ₹437
• Group C: 36 members, Average spending = ₹101

Calculating Total Spending for Each Group

To find the overall average, we first calculate the total amount spent by each group:

• Total spent by Group A = Number of members $\times$ Average spending
  $52 \times 420 = 21840$
• Total spent by Group B = Number of members $\times$ Average spending
  $22 \times 437 = 9614$
• Total spent by Group C = Number of members $\times$ Average spending
  $36 \times 101 = 3636$

Overall Average Spending Calculation

The overall average spending is calculated using the formula for weighted average:

Overall Average = $\frac{\text{Total amount spent by all groups}}{\text{Total number of members}}$

Step 1: Calculate the total amount spent by all members.

Total Amount = Total spent by A + Total spent by B + Total spent by C
Total Amount = $21840 + 9614 + 3636 = 35090$

Step 2: Calculate the total number of members.

Total Members = Members in A + Members in B + Members in C
Total Members = $52 + 22 + 36 = 110$

Step 3: Calculate the overall average spending per member.

Overall Average = $\frac{35090}{110}$
Overall Average = $319$

Therefore, the overall average amount spent per member is ₹319.