Question

Four milkmen rented a pasture. A grazed 24 cows for 3 months, B, 10 cows for 5 months, C, 35 cows for 4 months and D, 21 cows for 3 months. If A’s share of rent is ₹720, then the total rent of the field is:

• A. ₹3000
• B. ₹2250
• C. ₹4000
• D. ₹3250

Hint:

When solving such problems, focus on calculating total contributions (in this case, cow-months) and then use the given shares to find the overall total.

Answer 1

The Correct Option is D

Step 1: Total cow-months calculation. To determine the total rent, we need to calculate the total number of cow-months. Cow-months is the number of cows grazing for a certain number of months. - A grazes 24 cows for 3 months: \( 24 \times 3 = 72 \) cow-months. - B grazes 10 cows for 5 months: \( 10 \times 5 = 50 \) cow-months. - C grazes 35 cows for 4 months: \( 35 \times 4 = 140 \) cow-months. - D grazes 21 cows for 3 months: \( 21 \times 3 = 63 \) cow-months. Total cow-months = \( 72 + 50 + 140 + 63 = 325 \). Step 2: Determining the rent per cow-month. We know that A’s share of rent is ₹720, and A’s contribution in cow-months is 72 cow-months. So, the rent per cow-month is: \[ \frac{720}{72} = 10 \text{ per cow-month}. \] Step 3: Total rent calculation. The total rent is the rent per cow-month multiplied by the total number of cow-months: \[ 10 \times 325 = 3250. \] Step 4: Conclusion. The total rent of the field is ₹3250, so the correct answer is (4) ₹3250.