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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)

  1. Average age of 20 students of a class is 10 years. Average age of these students together with their five teachers is 14. The age of Ramesh Sir, one of their five teachers, is exactly the same as the average age of all their five teachers. The sum of the ages (in years) of all the students and Ramesh Sir is
  2. The average age of a group of boys and girls is 18 years. If the average age of boys is 20 years and that of girls is 15 years, then what is the percentage of boys in the group?
  3. If the average of six consecutive even numbers is 13, then the average of the next three even numbers is:
  4. एक परिवार में, पिता और माता की औसत आयु 35 वर्ष है । पिता, माता और उनके इकलौते बेटे की औसत आयु 27 वर्ष है । बेटे की उम्र _____________ है।

  5. 5 क्रमागत संख्याओं का औसत n है । यदि अगली दो संख्याएँ भी शामिल कर ली जाएँ, तो 7 संख्याओं का औसत
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