Question

In a hostel it costs ₹1800 to keep 50 children for 8 weeks. For what length of time did the cost of keeping 90 children amount to ₹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.