Four milkmen A, B, C and D hired a pasture. A grazed 10 cows for 2 months, B grazed 11 cows for 3 months, C grazed 14 cows for 4 months and D grazed 8 cows for 5 months. If A paid Rs 560, what was the total rent of the pasture?
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → Rs 4,172
The rent is shared in the ratio of cows × months (cow-months), just as profit is shared in the ratio of capital × time.
A: \(10\times2=20\), B: \(11\times3=33\), C: \(14\times4=56\), D: \(8\times5=40\)
Total \(=20+33+56+40=149\) cow-months
A’s 20 cow-months cost Rs 560, so one cow-month \(\displaystyle =\frac{560}{20}=\) Rs 28
Total rent \(=149\times28=\) Rs 4,172
The rent of the pasture was Rs 4,172.