Question

In hostel it cost 1800 to keep 50 children for 8 week. for what length of time did the cost of keeping 90 children and amount to 21060

Answer 1

We will use unitary method to solve this problem.

Rs 1800 is required for 50 kids for 8 weeks
Rs (1800)/50 is required for a kid for 8 weeks.
Rs 36 is required for a kid for 8 weeks.
Rs (36/8) is required for a kid for 1 week.
Rs 4.5 is required for a kid for 1 week.

Rs (4.5×90) is required for 90 kids for 1 week.
Rs 405 is required for 90 kids for 1 week.
Rs 405X is required for 90 kids for X weeks.

405X = 21060
X = (21060/405)
X = 52

Thus answer is 52 weeks