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Raj alone can do a piece of work in 8 days. Raman alone can do it in 12 days. If the total wage for the work is Rs. 500. How much should Raj be paid if they work together for the entire duration of the work?

Raj alone can do a piece of work in 8 days. Raman alone can do it in 12 days. If the total wage for the work is Rs. 500. How much should Raj be paid if they work together for the entire duration of the work? Correct Answer 300

We know that ratio of the wages will be the inverse of the ratio of the number of days required by each to do the work

⇒ Ratio of wages of Raj and Raman = 1/8 : 1/12 = 12 : 8

Let the wage of Raj be 12x and Raman be 8x

⇒ 12x + 8x = 500

⇒ 20x = 500

⇒ x = 25

∴ Raj gets 12x = 12 × 25 = 300

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