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

Let, m represent total remuneration paid to laborers and n represent number of laborers employed to harvest soybean. Since, the total remuneration paid to laborers, is in direct variation with the number of laborers. ∴ m ∝ n ∴ m = kn …(i) where, k = constant of variation Remuneration of 4 laborers is Rs 1000. i. e., when n = 4, m = Rs 1000 ∴ Substituting, n = 4 and m = 1000 in (i), we get m = kn ∴ 1000 = k × 4 ∴ k = 1000/4 ∴ k = 250 Substituting, k = 250 in (i), we get m = kn ∴ m = 250 n …(ii) This is the equation of variation Now, we have to find remuneration of 17 laborers. i. e., 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