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MIDHUNRAJ R

· started a discussion

· 1 Months ago

how the quantity 1 is less than quantity 2 .the quantity 1 x is 36 and quantity 2 x is 20 (Question:184954.0)

36>20

Question:

DIRECTIONS: In the following question, two statements numbered I and II are given, on solving them, we get quantities I and II respectively. Compare both the quantities and choose the correct option.


Quantity I- 30 persons can do a piece of work in 24 days. How many more people are required to complete the work in 20 days?


Quantity II- Some carpenters promised to do a job in 9 days but 5 of them were absent and remaining men did the job in 12 days, the original number of carpenters was

Options:
A) Quantity I > Quantity II 
B) Quantity I < Quantity II
C) Quantity I ≥ Quantity II
D) Quantity I ≤ Quantity II
E) Quantity I = Quantity II or the relation can’t be determined
Solution:
Ans: (b)

From Quantity I,


 

For a constant work when days are reduced by  \(\cfrac{1}{6}\), then number of men is increased by  \(\cfrac{1}{5}\). Hence 6 men will increase.

Alternatively:

24 × 30 = 20 × x

x = 36

Therefore 6 more men are required.

From Quantity II,   

 

Knowledge Expert

· commented

· 1 Months ago

Dear Student,
View the solution explanation after clicking on report. Team TR.
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