InterviewSolution
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A and B undertook to do a piece of work for Rs. 48,000. A could do it alone in 5 days and B could do it alone in 8 days. With the help of C and D, they finished the work in 3 days. If the work done by C was twice that of the work done by D, then the difference between the shares of A and C was:1). Rs. 129602). Rs. 340803). Rs. 206404). Rs. 28000 |
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Answer» Work done by A in 1 day = 1/5 Work done by B in 1 day = 1/8 Let the work done by D in 1 day be 1/x ⇒ Work done by C in 1 day = 2/x(GIVEN) ⇒ Work done by all in 1 day$(= \frac{1}{5}\; + \;\frac{1}{8}\; + \;\frac{1}{x}\; + \;\frac{2}{x})$ Now, when all of them work, they finish the work in 3 days. ⇒ Work done by all in 1 day = 1/3 $(\begin{array}{l} \frac{1}{5}\; + \;\frac{1}{8}\; + \;\frac{1}{x}\; + \;\frac{2}{x}\; = \;\frac{1}{3}\\ \frac{3}{x}\; = \;\frac{1}{3} - \frac{1}{5} - \frac{1}{8}\; = \;\frac{{40 - 24 - 15}}{{120}}\; = \;\frac{1}{{120}} \END{array})$ ⇒ x = 120 × 3 = 360 Time taken by C = 180 days ⇒ A’s total payment = 48000 × (3/5) = 28800 ⇒ C’s total payment = 48000 × (3/180) = 800 ∴ Difference = 28800 - 800 = 28000 |
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