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Ratio and Proportion - Quant/Math - CAT 2009

  1. Algebra
  2. Progressions
  3. Averages
  4. Clocks and Calendars
  5. Data Sufficiency
  6. English Grammar
  7. Function
  8. Geometry
  9. Interest
  10. Mensuration
  11. Mixtures & Alligations
  12. Number System
  13. Percentages
  14. Permutation & Combination
  15. Pipes & Cisterns And Work & Time
  16. Probability
  17. Profit & Loss
  18. Races
  19. Ratio, Proportion
  20. Speed, Time & Distance
  21. Trigonometry
  22. Miscellaneous
  23. General Knowledge
Question 4 the day: March 26, 2003

The question for the day is from the topic of Ratio and Proportion
A group of workers can do a piece of work in 24 days. However as 7 of them were absent it took 30 days to complete the work. How many people actually worked on the job to complete it?

(1) 35 (2) 30
(3) 28 (4) 42
Correct Answer - (3)

Solution:


Let the original number of workers in the group be 'x'

Therefore, actual number of workers = x-7.

We know that the number of manhours required to do the job is the same in both the cases.

Therefore, x (24) = (x-7).30

24x = 30x - 210

6x = 210

x = 35.

Therfore, the actual number of workers who worked to complete the job = x - 7 = 35 -7 = 28.




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