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Question
The total remuneration paid to labourers, employed to harvest soyabeen is in direct variation with the number of labourers. If remuneration of 4 labourers is ₹ 1000, find the remuneration of 17 labourers.
Solution
Let the total remuneration paid to labourers be ₹ y and the number of labourers employed be x.
It is given that y varies directly as x, i.e., y α x.
∴ y = kx, where k is constant of variation
When x = 4, y = 1000.
∴ 1000 = k × 4
⇒ k = 250
So, the equation of variation is y = 250x.
When x = 17,
y = 250 × 17 = ₹ 4,250
Thus, the total remuneration of 17 labourers is ₹ 4,250.
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