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Question

There are 69 members in group A, 65 members in group B and 88 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 ₹468, ₹120 and ₹276, respectively. The overall average amount (in ₹) spent per member is:

The correct answer is
290

Calculate Overall Average Spending per Member

To find the overall average amount spent per member across different groups, we calculate the total expenditure and divide it by the total number of members.

1. Calculate Total Number of Members

First, sum the number of members in each group to get the total number of members who visited the restaurant.

Total Members = Members in Group A + Members in Group B + Members in Group C

Total Members = $69 + 65 + 88 = 222$ members.

2. Calculate Total Spending for Each Group

Next, calculate the total amount spent by each group by multiplying the number of members in the group by their average spending.

  • Total Spent by Group A = $69 \times ₹468 = ₹32292$
  • Total Spent by Group B = $65 \times ₹120 = ₹7800$
  • Total Spent by Group C = $88 \times ₹276 = ₹24288$

3. Calculate Overall Total Spending

Sum the total spending from all groups to find the total amount spent by everyone.

Overall Total Spent = Total Spent Group A + Total Spent Group B + Total Spent Group C

Overall Total Spent = $₹32292 + ₹7800 + ₹24288 = ₹64380$

4. Calculate Overall Average Spending per Member

Finally, divide the overall total spending by the total number of members to find the overall average amount spent per member.

Overall Average = Overall Total Spent / Total Members

Overall Average = $₹64380 / 222$

Overall Average = $₹290$

Result

The overall average amount spent per member at the restaurant is ₹290.

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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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