# 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 - Mathematics

Sum

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 ∝ 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.

Concept: Direct Variation
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#### APPEARS IN

Balbharati Mathematics 8th Standard Maharashtra State Board
Chapter 7 Variation
Practice Set 7.1 | Q 6 | Page 37