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If Vinit can do \(\frac{1}{4}\)th of a work in 3 days and Viraj can do \(\frac{1}{6}\)th of the same work in 4 days, how much will Viraj get if both work together and are paid Rs. 360 in all?1). Rs. 2402). Rs. 1203). Rs. 804). Rs. 360 |
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Answer» Since, vinit does 1/4 TH of the work in 3 days, he requires 12 days to complete the entire job. Since, viraj does 1/6 th of the work in 4 days, he requires 24 days to complete the entire job. ∴ the rates of doing work for Vinit and Viraj are 1/12 and 1/24 respectively. ∴ Vinit and Viraj do the work in the ratio of 2 : 1 in TERMS of rate. ∴ they will be paid according to this ratio. Let the common MULTIPLE be ‘x’ ∴ the PAYMENTS of Vinit and Viraj will be 2x and x respectively. ∴ x + 2x = 360 ∴ x = 120 ∴ Viraj will be paid rupees = x = 120 |
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