A, B and C hire a meadow for Rs 2920. A puts in 20 cows for 10 days; B 12 cows for 20 days and C 9 cows for 16 days. Find the rent paid by each one of them.a)Rs.1240,Rs.850,Rs.720b)Rs.1000,Rs.1200,Rs.720c)Rs.1050,Rs.585,Rs.875d)Rs.1155,Rs.1200,Rs.720e)None of theseCorrect answer is option 'B'. Can you explain this answer?

Question

Answer

Answer

Given:
Total rent paid for the meadow = Rs 2920

A puts in 20 cows for 10 days
B puts in 12 cows for 20 days
C puts in 9 cows for 16 days

Let's find the rent paid by each person.

Rent Calculation:
We can calculate the rent for each person by considering the proportion of cows and days they used the meadow.

Rent paid by A:
A put in 20 cows for 10 days
So, the proportion of A's contribution to the rent can be calculated as (20 * 10) / (20 * 10 + 12 * 20 + 9 * 16)

Rent paid by B:
B put in 12 cows for 20 days
So, the proportion of B's contribution to the rent can be calculated as (12 * 20) / (20 * 10 + 12 * 20 + 9 * 16)

Rent paid by C:
C put in 9 cows for 16 days
So, the proportion of C's contribution to the rent can be calculated as (9 * 16) / (20 * 10 + 12 * 20 + 9 * 16)

Using the above proportions, we can calculate the rent paid by each person.

Calculations:

Total rent paid = Rs 2920

Rent paid by A = (20 * 10) / (20 * 10 + 12 * 20 + 9 * 16) * Total rent paid

Rent paid by B = (12 * 20) / (20 * 10 + 12 * 20 + 9 * 16) * Total rent paid

Rent paid by C = (9 * 16) / (20 * 10 + 12 * 20 + 9 * 16) * Total rent paid

Now, let's calculate the values.

Rent paid by A = (20 * 10) / (20 * 10 + 12 * 20 + 9 * 16) * 2920

Rent paid by B = (12 * 20) / (20 * 10 + 12 * 20 + 9 * 16) * 2920

Rent paid by C = (9 * 16) / (20 * 10 + 12 * 20 + 9 * 16) * 2920

Simplifying the above expressions, we get:

Rent paid by A = 1000 Rs

Rent paid by B = 1200 Rs

Rent paid by C = 720 Rs

Therefore, the rent paid by each person is Rs 1000, Rs 1200, and Rs 720 respectively.

Hence, the correct answer is option B) Rs. 1000, Rs. 1200, Rs. 720.

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