Question

1. In a hotel it costs RS.1800 to keep 50 children for 8 weeks. For what length of time did the cost of keeping 90 children amount to RS.21060?

Answer 1

The hostel cost for 50 children for 8 weeks = rs.1800.
The hostel cost for 1 child for 8 weeks = 1800/50
The hostel cost for 1 child for 1 week = 1800/50 × 8
So, the hostel cost for 90 children for 1 week = (1800 × 90)/(50 × 8)
The cost of keeping 90 children for x number of weeks = Rs. 21060
Thus,
(1800 × 90 × x)/(50 × 8) = 21060
x = (21060 × 50 × 8)/(1800 × 90)
x = 8424000/162000
x = 52
So, the answer is 52 weeks.