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32 boys and 40 girls spend an average amount of Rs. 400. If the average amount spent by each boy is Rs. 500, what is the average amount spent by each girl?
  • a)
    Rs. 240
  • b)
    Rs. 270
  • c)
    Rs. 300
  • d)
    Rs. 320
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
32 boys and 40 girls spend an average amount of Rs. 400. If the averag...

Hence, Option D is correct.
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32 boys and 40 girls spend an average amount of Rs. 400. If the averag...
Understanding the Problem
We have a total of 32 boys and 40 girls, and the average amount spent by all of them is Rs. 400. We know the average expenditure for boys is Rs. 500. We need to find the average amount spent by each girl.

Calculating Total Expenditure
- Total number of students = 32 boys + 40 girls = 72 students
- Average amount spent = Rs. 400
- Total expenditure = Average amount spent × Total number of students
Total expenditure = Rs. 400 × 72 = Rs. 28,800

Calculating Boys' Total Expenditure
- Average expenditure per boy = Rs. 500
- Total expenditure by boys = Average expenditure per boy × Number of boys
Total expenditure by boys = Rs. 500 × 32 = Rs. 16,000

Calculating Girls' Total Expenditure
- Total expenditure by girls = Total expenditure - Total expenditure by boys
Total expenditure by girls = Rs. 28,800 - Rs. 16,000 = Rs. 12,800

Finding Average Expenditure per Girl
- Average expenditure per girl = Total expenditure by girls ÷ Number of girls
Average expenditure per girl = Rs. 12,800 ÷ 40 = Rs. 320

Conclusion
Thus, the average amount spent by each girl is Rs. 320. The correct answer is option 'D'.
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32 boys and 40 girls spend an average amount of Rs. 400. If the average amount spent by each boy is Rs. 500, what is the average amount spent by each girl?a)Rs. 240b)Rs. 270c)Rs. 300d)Rs. 320Correct answer is option 'D'. Can you explain this answer?
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