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13 Mar 2023, 08:42
Kudos
Bookmarks
I think we can solve this question this way and it is really fast.
increase by factor of 1/4 = increase by factor of 3/12
decrease by factor of 1/3 = decrease by factor of 4/12
We can see the decrease by factor 4/12 is larger than 3/12
=> in total the employee is decrease in 2006
=> 100 employees is the minimum number
=> Eliminate employees number that <=100 (C, D, E)
We have A & B left.
Between 2 time periods (2000 to 2003 and 2003 to 2006), as the number of employees changed slightly (3/12 - 4/12 = 1/12), the number of employees in 2000 to 2003 can not be too large from number 100.
=> Eliminate A
=> Last answer is B (120)
increase by factor of 1/4 = increase by factor of 3/12
decrease by factor of 1/3 = decrease by factor of 4/12
We can see the decrease by factor 4/12 is larger than 3/12
=> in total the employee is decrease in 2006
=> 100 employees is the minimum number
=> Eliminate employees number that <=100 (C, D, E)
We have A & B left.
Between 2 time periods (2000 to 2003 and 2003 to 2006), as the number of employees changed slightly (3/12 - 4/12 = 1/12), the number of employees in 2000 to 2003 can not be too large from number 100.
=> Eliminate A
=> Last answer is B (120)
07 May 2023, 12:33
Kudos
Bookmarks
one line ans:
x*5/4*2/3 = 100
solve for x.
Explanation:
since increase is by 1/4 in the first period the resulting number is 5/4 of the original number.
similarly, since the subsequent decrease is 1/3 the resultant number will be 2/3 of the original number.
so multiplying these two fractions with the original number number, that we supposed as x we get the final number 100.
x*5/4*2/3 = 100
solve for x.
Explanation:
since increase is by 1/4 in the first period the resulting number is 5/4 of the original number.
similarly, since the subsequent decrease is 1/3 the resultant number will be 2/3 of the original number.
so multiplying these two fractions with the original number number, that we supposed as x we get the final number 100.
29 May 2023, 14:39
Kudos
Bookmarks
KarishmaB
KarishmaB
Thank you for this. I was confused and did the following:
2000-2003 --> (5/4)*E
2003-2006 --> (5/4)*E*(2/3)
Then I set (5/4)*E*(2/3)=100
E=120
BUT, then I thought this was just the number of employees for 2006, so I ended up taking the 120 and dividing by 1.25 to presumably get back to 2000. Why don't you need to do this? Is it because there is only one E, and we just manipulated it this entire time? Thanks again.
