Question:

If Rs. 4,800 will maintain a family of 5 persons for 72 days, for how long will Rs. 6,400 maintain a family of 8 persons?

Updated On: Oct 14, 2024
  • 30 days
  • 60 days
  • 120 days
  • None of these
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The Correct Option is B

Solution and Explanation

1. Calculate the daily cost per person:

  • If Rs. 4800 maintains 5 people for 72 days, the total cost for one person for one day is: \(\frac{4800}{(5 \times 72)} \)= Rs. 13.33 (approximately)

2. Calculate the total cost for 8 people:

  • With 8 people, the daily cost would be \(8 \times 13.33\) = Rs. 106.67 (approximately)

3. Calculate how many days Rs. 6400 will last:

  • Divide the total amount of money by the daily cost for 8 people: \(\frac{6400}{106.67}\) = 60 days (approximately)

Therefore, Rs. 6400 will maintain a family of 8 persons for approximately 60 days.
The correct answer is (B): 60 days

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