Question
There are 78 members in group A, 22 members in group B and 34 members in group C. All the members of these groups went to a restaurant. The average amounts spent on each member of groups A, B and C are ₹136, ₹383 and ₹457, respectively. The overall average amount (in ₹) spent per member is:
The correct answer is
258
Calculating Total Spending per Group
First, determine the total amount spent by members of each group by multiplying the number of members by their respective average spending.
- Group A: $78 \text{ members} \times ₹136/\text{member} = ₹10608$
- Group B: $22 \text{ members} \times ₹383/\text{member} = ₹8426$
- Group C: $34 \text{ members} \times ₹457/\text{member} = ₹15538$
Calculating Overall Average Spend
To find the overall average spend, sum the total spending of all groups and divide by the total number of members across all groups.
- Total Spending: $₹10608 + ₹8426 + ₹15538 = ₹34572$
- Total Members: $78 + 22 + 34 = 134$ members
- Overall Average Spend: $ \frac{₹34572}{134 \text{ members}} \approx ₹257.997 $
Rounding the result to the nearest whole number, the overall average amount spent per member is ₹258.
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Important Questions from Average (Notes)
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