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Mohini, and Rahul can do a piece of work in 8, and 12 days respectively, and they together earn Rs 2500. Find the difference between the share of Mohini and Rahul.1. Rs 5002. Rs 8003. Rs 9004. Rs 400 |
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Answer» Correct Answer - Option 1 : Rs 500 Given: Mohini can do a piece of work in 8 days. Rahul can do a piece of work in 12 days. Total earning = Rs 2500 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 Mohini = 1/8 1 day work of Rahul = 1/12 Ratio of their work = 1/8 ∶ 1/12 ---- (1) Take L.C.M. of 8, 12 and then multiply it with equation (1) ⇒ 24/8 ∶ 24/12 ⇒ 3 ∶ 2 Ratio of their wages = 3 ∶ 2 Let Mohini’s share is 3x, and Rahul’s share is 2x. Mohini’s share + Rahul’s share = 2500 ⇒ 3x + 2x = 2500 ⇒ 5x = 2500 ⇒ x = 500 Mohini’s share = 3x ⇒ 3 × 500 ⇒ 1500 Rahul’s share = 2x ⇒ 2 × 500 ⇒ 1000 The difference between Mohini’s share and Rahul’s share = 1500 – 1000 ⇒ 500 ∴ The difference between the share of Mohini and Rahul is Rs 500. |
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