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A community service organisation has raised 80% of the donation that it needed for a new building by receiving an average donation of Rs 400 per person from a group of people. To raise the remaining amount, the organisation now intends approaching another group of people which has two-thirds the number of people as the first group. What should be the average donation per person from the new group?
  • a)
    Rs 100
  • b)
    Rs 150
  • c)
    Rs 200
  • d)
    Rs 250
Correct answer is option 'B'. Can you explain this answer?
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Given information:
- A community service organisation has raised 80% of the donation needed for a new building.
- The organisation received an average donation of Rs 400 per person from a group of people.
- The new group of people has two-thirds the number of people as the first group.

To find:
- Average donation per person from the new group.

Solution:
Let the total amount needed for the building be Rs X.
- 80% of X = amount raised by the first group = 0.8X
- Remaining amount needed = 20% of X = 0.2X

Let the number of people in the first group be N1.
- Total amount raised by the first group = N1*400
- N1 = (0.8X)/400 = 2X/1000

Number of people in the second group = (2/3)N1
- Total amount needed to be raised from the second group = 0.2X = (1/5)X

Let the average donation per person from the second group be Y.
- Total amount raised by the second group = (2/3)N1*Y = (2NY)/3
- (2NY)/3 = (1/5)X
- Y = (3X/10N2)

Substituting the value of N2, we get:
- Y = (3X/10*(2N1/3)) = (3X/20N1) = (3X/20*(2X/1000)) = 30

Therefore, the average donation per person from the new group should be Rs 150 (option B).
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A community service organisation has raised 80% of the donation that it needed for a new building by receiving an average donation of Rs 400 per person from a group of people. To raise the remaining amount, the organisation now intends approaching another group of people which has two-thirds the number of people as the first group. What should be the average donation per person from the new group?a)Rs 100b)Rs 150c)Rs 200d)Rs 250Correct answer is option 'B'. Can you explain this answer?
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