Discussion

Question:

A and B rent a pasture for 10 months; A puts in 80 cows for 7 months. How many can B put in for the remaining 3 months, if he pays half as much more as A?

Explanation:

Rent payable ∝ no. of cows,

Rent payable ∝ amount of time

⇒ Rent payable ∝ (no. of cows) × (amount of time)

$\frac{R e n t A p a y s}{R e n t B p a y s} = \frac{A' s c o w s \times m o n t h s}{B' s c o w s \times m o n t h s}$

$\frac{2}{3} = \frac{80 \times 7}{n \times 3}$

⇒ n = 280

Hence, option (d).

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