Question

Four sheep farmers, namely Ulma, 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 Ulma's share of rent is Rs. 720, find the total rent of the pasture?

• A. Rs. 2880 /-
• B. Rs. 3200 /-
• C. Rs. 3150 /-
• D. Rs. 3250 /-
• E. Rs. 3350 /-

Hint:

Rent is distributed in the ratio of sheep-months (number × time).

Answer 1

The Correct Option is D

Step 1: Calculating Sheep-Months:
Rent is shared in proportion to (number of sheep × time).
Ulma: \(24 \times 3 = 72\) sheep-months
Vimla: \(10 \times 5 = 50\) sheep-months
Wilma: \(35 \times 4 = 140\) sheep-months
Xema: \(21 \times 3 = 63\) sheep-months
Total sheep-months = \(72 + 50 + 140 + 63 = 325\)

Step 2: Finding Total Rent:
Ulma's share = \(\frac{72}{325} \times \text{Total Rent} = 720\)
\[ \text{Total Rent} = 720 \times \frac{325}{72} = 10 \times 325 = Rs. 3250 \]