Hire Ratio

If a team consists 20 members in which 20% are mathematician then how many member should they hire sothat the ratio would become 10/11.

Questions by manu42

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  • Aug 29th, 2010

Please correct me if I got something wrong along the way.
Initially we got 4 math guys and 16 others. Ratio is 1/4 20, in total.

The minimum numbers of math guys and others to give us the ratio of 10/11 are 10 math guys and 11 others.
But we already have 16. so we multiply the ratio by 2, which means that we have
to have 20 math guys and 22 others in order to have the ratio of 10/11.

42-20 = 22

so we need to hire (20-4) 16 math guys

and (22-16) 6 others.

I'd really appreciate if you correct me here..


This is how I interpret the question { please correct me if I'm wrong =) }:

There are 20 members = 80% non-mathematician (16) /  20%  mathematician (4)

They need to hire more, so the ratio will be 10/11 or 91% (r.) mathematican
 from the previous 20%;  so the new ratio now is:

91% mathematician....  9% non-mathematician... So here it goes:

the number of non-mathematician stays the same - still 16, so we need to get the new total number of members to get the ratio of 10/11,
                 16 non-mathematician / 9%  =             178 (r.) new total no. of members
         less: current non- mathematician members    16
                 new no. of mathematician members     162
         less: current mathematician members              4
         no. of mathematician members to hire          158  

 to check:   162 mathematician/ 178 total new members = 91% 

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  • Nov 1st, 2011

ratio of mathematician should be 10/11

so, set a number of hire as X.


X is 156

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  • Nov 26th, 2012

20% of 20=4
so 4 maths guys out of 20
now incresae in maths guys means increase in total take
solve 156 is the ans

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