Four sheep farmers, namely Umla, Vimla, Wilma and Xema rented a
pasture, as per the following details :

Umla grazed her 24 sheep for 3 months ;
Vimla grazed her 10 sheep for 5 months ;
Wilma grazed her 35 sheep for 4 months ; and
Xema grazed her 21 sheep for 3 months.
If Umla's share of rent is Rs . 720, find the total rent of the pasture ?

Umla: 24 sheep * 3 months = 72 sheep-months

Vimla: 10 sheep * 5 months = 50 sheep-months

Wilma: 35 sheep * 4 months = 140 sheep-months

Xema: 21 sheep * 3 months = 63 sheep-months

Total sheep-months = $72 + 50 + 140 + 63 = 325 sheep-months

We are given that Umla’s share of the rent is Rs. 720. Since her contribution was 72 sheep-months, we can find the cost per sheep-month:

Rate = $$\dfrac{720}{72}$$ = Rs. 10 per sheep-month

Total Rent = 325 sheep-months * Rs. 10 per sheep-month = Rs. 3,250