Select the correct answerFour milk men rented a pasture. A put to graze 16 cows for 3 months, B, 20 cows for 4 months. C, 18 cows for 6 months and D, 42 cows for 2 months. if A’s share of rent be Rs. 2,400, the rent paid by C is?OptionsRs. 4,200Rs. 3,200Rs. 4,000Rs.5,400
Question
Select the correct answerFour milk men rented a pasture. A put to graze 16 cows for 3 months, B, 20 cows for 4 months. C, 18 cows for 6 months and D, 42 cows for 2 months. if A’s share of rent be Rs. 2,400, the rent paid by C is?OptionsRs. 4,200Rs. 3,200Rs. 4,000Rs.5,400
Solution
The rent paid by each person is proportional to the number of cows they have and the time they spent in the pasture.
First, we calculate the cow-months for each person.
For A, it's 16 cows * 3 months = 48 cow-months. For B, it's 20 cows * 4 months = 80 cow-months. For C, it's 18 cows * 6 months = 108 cow-months. For D, it's 42 cows * 2 months = 84 cow-months.
The total cow-months is 48 + 80 + 108 + 84 = 320 cow-months.
We know that A’s share of rent is Rs. 2,400 for 48 cow-months. So, the rent per cow-month is 2400/48 = Rs. 50.
Therefore, the rent paid by C for 108 cow-months is 108 * 50 = Rs. 5,400.
So, the correct answer is Rs.5,400.
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