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Tej, Aarzoo, and Nazuk can do a piece of work in 10, 12, and 15 days respectively, and they together earn Rs 900. Find the shares of Nazuk.1. Rs 3002. Rs 3603. Rs 2004. Rs 240 |
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Answer» Correct Answer - Option 4 : Rs 240 Given: Tej can do a piece of work in 10 days. Aarzoo can do a piece of work in 12 days. Nazuk can do a piece of work in 15 days. Total earning = Rs 900 Concept: Wages are distributed in proportion to the work done and in inverse proportion to the time taken by the individual. Calculation: 1 day work of Tej = 1/10 1 day work of Aarzoo = 1/12 1 day work of Nazuk = 1/15 Ratio of their work = 1/10 ∶ 1/12 ∶ 1/15 ---- (1) Take L.C.M. of 10, 12, 15, and then multiply it with equation (1) ⇒ 60/10 ∶ 60/12 ∶ 60/15 ⇒ 6 ∶ 5 ∶ 4 Ratio of their wages = 6 ∶ 5 ∶ 4 Let Tej’s share is 6x, Aarzoo’s share is 5x, and Nazuk’s share is 4x. Tej’s share + Aarzoo’s share + Nazuk’s share = 900 ⇒ 6x + 5x + 4x = 900 ⇒ 15x = 900 ⇒ x = 60 Nazuk’s share = 4x ⇒ 4 × 60 ⇒ 240 ∴ The share of Nazuk is Rs 240. |
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