The question below is followed by two statements I and II. You have to determine whether the data given is sufficient for answering the question. You should use the data and your knowledge of mathematics to choose the best possible answer. In how many days will the work be completed by all of them together? I. Profit sharing ratio among A, B, C, D, E is 1 : 2 : 3 : 4 : 5. II. E can complete the work in 20 days.
The question below is followed by two statements I and II. You have to determine whether the data given is sufficient for answering the question. You should use the data and your knowledge of mathematics to choose the best possible answer. In how many days will the work be completed by all of them together? I. Profit sharing ratio among A, B, C, D, E is 1 : 2 : 3 : 4 : 5. II. E can complete the work in 20 days. Correct Answer If both the statements I and II together are needed to answer the question.
From statement I
Profit sharing ratio between A, B, C, D, E is 1 : 2 : 3 : 4 : 5
Work efficiency ratio will be
⇒ 5 : 4 : 3 : 2 : 1
From statement II
E can complete the work in 20 days.
From statement I and statement II
A will complete the work.
⇒ 20/1 × 5 = 100
Now let the total unit of work is 1200 units
|
Days to complete the work |
Per day work |
|
|
A |
100 |
12 |
|
B |
80 |
15 |
|
C |
60 |
20 |
|
D |
40 |
30 |
|
E |
20 |
60 |
Total units produce in a day
⇒ 12 + 15 + 20 + 30 + 60 = 137
Total 1200 units will produce in
⇒ 1200/137 = 8.75 days
∴ Both statements I and II together are needed to answer the question