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Question

Quantitative Aptitude Question on Number Systems

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?

A

30 days

B

60 days

C

120 days

D

None of these

Answer

60 days

Explanation

Solution

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: 4800(5×72)\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 8×13.338 \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: 6400106.67\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