A completes 45 of the work in days B completes 30 of the work in 3 days If A B and C together c...........

Quantitative Aptitude (SBI-PO) Time and work

A completes 45% of the work in $11\frac{1}{4}$ days. B completes 30% of the work in 3 days. If A, B and C together can complete the entire work in $6\frac{1}{4}$ days, then C is how much less efficient than A?

30%

20%

40%

50%

80%

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Explanation:

Work done by A in 1 day =45%/(45/4) = 4%
Work done by B in 1 day =30%/3 = 10%
Work done by A, B and C together in 1 day =100%/(25/4) = 16%
Work done by C in 1 day = (16 – 4 + 10)% = 2%
Required percentage = 2/4× 100 = 50%