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70% of the employees in a multinational corporation have VCD players,

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70% of the employees in a multinational corporation have VCD players,  [#permalink]

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New post 05 Nov 2015, 03:25
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Question Stats:

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70% of the employees in a multinational corporation have VCD players, 75 percent have microwave ovens, 80 percent have ACs and 85 percent have washing machines. At least what percentage of employees has all four gadgets?

(a) 15%
(b) 5%
(c) 10%
(d) 20%
(e) 25%
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Re: 70% of the employees in a multinational corporation have VCD players,  [#permalink]

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New post 03 Dec 2016, 02:05
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AR15J wrote:
Hi Bunuel,

I tried to understand the posts presented for solution, but I could not understand how they are doing it. Can you please help me with this?



Hi AR15J,

Let me put the same answer with a different theory.

Consider that you have plane square with 100 units and we need to fill this with 4 colors A- with 70 units B- 75 units C- 80 units and D-85 units. Now with this, questions asks us to find minimum units which contains all 4 colors when we add colors to the square sequentially.

Step1 Add color A with 70 units so the remaining area is 30 units.

Now step 2 onward add colors so that the remaining part of the previous color is filled first.

Step2: Add B to the remaining units of A which is 30. So units that contains A and B is 75- 30= 45

Step3 Add C to the remaining units of A+B = 100-45 = 55. So units that contains A and B and C is 80-55 = 25

step4 Add D to the remaining units of A+B+C = 100-25 =75 So units that contain A, B, C and D are 85-75 = 10

Hope this helps. :D
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70% of the employees in a multinational corporation have VCD players,  [#permalink]

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New post Updated on: 05 Nov 2015, 07:46
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4
Quote:
70% of the employees in a multinational corporation have VCD players

so 30% employees don't have VCD devices.

Quote:
75 percent have microwave ovens

25% employees don't have MO

Quote:
80 percent have ACs

20% employees don't have ACs

Quote:
85 percent have washing machines

15% employees don't have WM

Summ of employees that don't have some device = 30%+25%+20%+15% = 90% < 100%
So definitely at least 10% employees have 4 devices.

another way to calculate this:
85% and 70% --> 55% have at least 2 devices (WM and VCD)
55% and 80% --> 35% have at least 3 devices (WM, VCD and ACs)
35% and 75% --> 10% have at least 4 devices

ans: C

Originally posted by Vodolaz on 05 Nov 2015, 04:20.
Last edited by Vodolaz on 05 Nov 2015, 07:46, edited 1 time in total.
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Re: 70% of the employees in a multinational corporation have VCD players,  [#permalink]

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New post 05 Nov 2015, 04:25
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Given a population where A% has a certain characteristic X and B% has another characteristic Y (assuming both aren't exclusive), then you get the minimum overlap by assuming that the entire population that doesn't have X has characteristic Y, therefore the minimum portion of the population that has both characteristics is:

B-(100-A) %

So given A=70 for employees with VCD players and B=75 for employees with microwave ovens, at least:

75-(100-70)=45% have both. Then take the output and repeat with the other appliances.

A=45 for employees with both VCD players and microwaves, B=80 for ACs

80-(100-45)=25%

A=25 for employees with VCD players, microwaves and ACs, B=85 for washing machines

85-(100-25)=10%

Answer is C
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Re: 70% of the employees in a multinational corporation have VCD players,  [#permalink]

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New post 02 Dec 2016, 11:40
Hi Bunuel,

I tried to understand the posts presented for solution, but I could not understand how they are doing it. Can you please help me with this?
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Re: 70% of the employees in a multinational corporation have VCD players,  [#permalink]

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New post 02 Dec 2016, 22:27
AR15J wrote:
Hi Bunuel,

I tried to understand the posts presented for solution, but I could not understand how they are doing it. Can you please help me with this?

Bunuel
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+1 Kudo, if my post helped

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Re: 70% of the employees in a multinational corporation have VCD players,  [#permalink]

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New post 03 Dec 2016, 03:07
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RMD007 wrote:
AR15J wrote:
Hi Bunuel,

I tried to understand the posts presented for solution, but I could not understand how they are doing it. Can you please help me with this?



Hi AR15J,

Let me put the same answer with a different theory.

Consider that you have plane square with 100 units and we need to fill this with 4 colors A- with 70 units B- 75 units C- 80 units and D-85 units. Now with this, questions asks us to find minimum units which contains all 4 colors when we add colors to the square sequentially.

Step1 Add color A with 70 units so the remaining area is 30 units.

Now step 2 onward add colors so that the remaining part of the previous color is filled first.

Step2: Add B to the remaining units of A which is 30. So units that contains A and B is 75- 30= 45

Step3 Add C to the remaining units of A+B = 100-45 = 55. So units that contains A and B and C is 80-55 = 25

step4 Add D to the remaining units of A+B+C = 100-25 =75 So units that contain A, B, C and D are 85-75 = 10

Hope this helps. :D


Superb Explanation. Now I got how others are doing. Your example really helped. I try to give you Kudos for this explanation, but I don't why it keeps on loading. Thanks !
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Re: 70% of the employees in a multinational corporation have VCD players,  [#permalink]

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New post 20 Mar 2018, 15:58
excelingmat wrote:
70% of the employees in a multinational corporation have VCD players, 75 percent have microwave ovens, 80 percent have ACs and 85 percent have washing machines. At least what percentage of employees has all four gadgets?

(a) 15%
(b) 5%
(c) 10%
(d) 20%
(e) 25%


Since 70% + 75% = 145% and subtract 100%, we have at least 45% of the employees have both VCD players and microwave ovens.

Since 45% + 80% = 125% and subtract 100%, we have at least 25% of the employees have VCD players, microwave ovens and ACs.

Since 25% + 85% = 110% and subtract 100%, we have at least 10% of the employees have VCD players, microwave ovens, ACs and washing machines.

Answer: C
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Re: 70% of the employees in a multinational corporation have VCD players,  [#permalink]

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New post 27 Mar 2018, 03:40
JeffTargetTestPrep wrote:
excelingmat wrote:
70% of the employees in a multinational corporation have VCD players, 75 percent have microwave ovens, 80 percent have ACs and 85 percent have washing machines. At least what percentage of employees has all four gadgets?

(a) 15%
(b) 5%
(c) 10%
(d) 20%
(e) 25%


Since 70% + 75% = 145% and subtract 100%, we have at least 45% of the employees have both VCD players and microwave ovens.

Since 45% + 80% = 125% and subtract 100%, we have at least 25% of the employees have VCD players, microwave ovens and ACs.

Since 25% + 85% = 110% and subtract 100%, we have at least 10% of the employees have VCD players, microwave ovens, ACs and washing machines.

Answer: C


hey

Can you explain the logic for your solution?
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Re: 70% of the employees in a multinational corporation have VCD players, &nbs [#permalink] 27 Mar 2018, 03:40
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