1. A can do a work in 10 days and B can do the same work in 15 days. So how many days they will take to finish the same work ?
Answer: 6 days
Explanation:First find the 1 day work of both (A & B)
A 1 day's work = 1/10
and
B 1 day's work = 1/15
So (A + B) 1 day's work = (1/10+1/15)
= (3/30+2/30) = 5/30 = 1/6
So Both (A & B) together can finish work in 6 days
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Accenture Amazon Capgemini TCS Cognizant Syntel Inc. Syntel Inc. Infosys Deloitte
2. X alone can do a piece of work in 15 days and Y alone can do it in 10 days. X and Y undertook to do it for Rs. 720. With the help of Z they finished it in 5 days. How much is paid to Z?
Answer: Rs. 120.
Explanation:In one day X can finish 1/15 th of the work.
In one day Y can finish 1/10 th of the work.
Let us say that in one day Z can finish 1/Z th of the work.
When all the three work together in one day they can finish 1/15 + 1/10 + 1/Z = 1/5 of the work.
Therefore, 1/Z = 1/30.
Ratio of their efficiencies = 1/15: 1/10: 1/30 = 2: 3: 1.Therefore Z receives 1/6 of the total money.
According to their efficiencies money is divided as 240: 360: 120.
S0, the share of Z = Rs. 120.
Workspace
Deloitte
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