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.​

Answer 1

Answer:

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Answer 2

Answer:

Let total remuneration paid to laborers be = ‘m’ and

Number of laborers employed to harvest soybean be = ‘n’.

Since, the total remuneration paid to laborers, is in direct variation with the number of laborers.

So, m ∝ n

∴ m = kn … (i) where, k = constant of variation

Remuneration of 4 laborers is Rs 1000.

When n = 4, m = Rs 1000

So, substitute the value of n = 4 and m = 1000 in (i), we get

m = kn

1000 = k × 4

k =10004

k = 250

Now, substitute the value of k = 250 back in (i), we get

m = kn

∴ m = 250 n … (ii)

This is the equation of variation

Now, let us find the remuneration of 17 laborers.

When n = 17, m =?

Substituting n = 17 in (ii), we get

m = 250 n

m = 250 × 17

m = 4250

∴ The remuneration of 17 laborers is Rs 4250.