A full bottle contains 40% oil, 20% vinegar, and 40% water. The bottle

Question

A full bottle contains 40% oil, 20% vinegar, and 40% water. The bottle is poured into a larger bottle, four times as big as original. The remaining space in the larger bottle is then filled with water. If there was 8 ml of oil in the original bottle, how much of water is in the final mixture?

A. 8 ml
B. 20 ml
C. 60 ml
D. 68 ml
E. 80 ml

A. 8 ml
B. 20 ml
C. 60 ml
D. 68 ml
E. 80 ml

GMATbuster92 · Answer

Step 1 : oil in original bottle 40% = 8ml 
 Therefore original bottle capacity = 20ml
Step 2 : Volume of other 2 (vinegar and water ) in mix
 Water = oil =8
 Vinegar = 12 (this is not required)
Step 3 : volume of big bottle = 4* original bottle = 4*20 = 80

Step 4: Remaining volume = 80- original bottle mix poured = 80 -20 =60 (water poured)
Step 5 : Water poured + water in original mix = 60+8 = 68 ml

Akash720 · Answer

Given: Let the smaller bottle size be, x ml Then Larger bottle size = 4x ml Oil in smaller bottle = 8 ml = 40% This tells us that 1ml of any solution is equal to 5%, 1ml = 5% Therefore: Smaller bottle capacity = water+oil+vinegar = 40%+40%+20% = 8ml+8ml+4ml = 20 ml Larger bottle capacity = 4*20ml = 80ml Given: The remaining space in the larger bottle is then filled with water = 80ml - 20ml = 60ml of water Water already present in the bottle = 8ml + 60ml = 68ml in mixture Hence D is the answer Please give kudos if you like the explanation

archana89 · Answer

Let x be the size of original bottle
 1. Ratio of oil, vinegar and water are in 2:1:2. 
2.  Given: 8 ml of oil in original bottle. 
So, 
2/5 * x = 8, which gives x=20
3. Given: Larger bottle = 4 * original bottle
i.e Larger bottle = 4 * x = 4 * 20 = 80

So, 20 ml poured in 80 ml of bottle. That leaves 80-20 =  60 ml remaining 
 Given, remaining space in the larger bottle is then filled with water
 
i.e. 60 ml filled in large bottle with water.

Question asked is: water in final mixture, which is 8 ml(as poured from original bottle previously) + 60 ml (highlighted above)
Equals 68 - option (D)

Please let me know, if this is correct ! Kindly publish the answer asap

Gagoosh · Answer

I am getting a D.

Following is my approach :
Let the volume of the bottle be X ml;
Oil (40%) = 8ml, we get 40x/100 =8; x = 20ml
Water (40%) would be 8 ml -------(i)

four times size of the bottle would be 4x = 4 * 20 =80 ml.
Space remaining after pouring 20 ml = 80 - 20 =60ml-----(ii)

Adding (i) and (ii);
60 + 8 = 68ml.

Please kudo if that helped.

looking forward to a faster approach though.

gatz · Answer

Please see attached file below 
The correct answer is (D) 68 ml.

Salsanousi · Answer

Oil:Vinegar:water:total

4:2:4:10

4x = 8 , x = 2

then the ratios will be 8:4:8:20

Since the larger bottle is 4 times it will 20*4 = 80

80 - 20 = 60 water that needs to be added.

Previously there was 8 ml water and now we added 60 to fill the remaining so 60 + 8 = 68

Answer choice D

CrackverbalGMAT · Answer

The two pieces of information which are linked to each other are the percentage of oil and the actual quantity of oil in the original bottle, since both represent the same quantity.

Essentially, 40% = 8 ml. This helps us understand that 100% = 20 ml. In turn, this helps us understand the quantities of the other liquids –> there is 4 ml of Vinegar and 8 ml of Water.

The volume of the larger bottle is 4 times as big as the original bottle. Therefore, 
Volume of larger bottle = 4*20 = 80 ml. 
Of this 80 ml, 20 ml represents the mixture from the original bottle. Question says that the remaining space is filled with water. So 60 ml of water must have been poured to fill the larger bottle completely.

In all, total volume of water in the final mixture = 8 ml (from the original bottle) + 60 ml (from the one that was poured to fill the large bottle) = 68 ml.
 The correct answer option is D .

In a question like this, it’s important to find out that one important information that acts like a key and opens the doorway to solving the question. In this case, it was the relationship between the percentage and the absolute value of the volume of oil in the original bottle.

Hope that helps!

mm229966 · Answer

40% oil is 8 ml, meaning 40% of water is also 8 ml and 20% vinegar is 4 ml. = 20ml is small bottle's volume;
20 * 4 = 80 is the volume of the 4 times larger new bottle; and water in the new bottle is: amount of new water + amount of old water = 60 + 8 = 68.

luisdicampo · Answer

Deconstructing the Question

The original bottle contains   40\%   oil,   20\%   vinegar, and   40\%   water.

We are told that the oil amount is   8   ml, so we first find the total volume of the original bottle.

Then the mixture is poured into a bottle that is   4   times as large, and the remaining space is filled with water.

Step-by-step

Let the original volume be   V  .

Since oil is   \frac{2}{5}   of the bottle,

\frac{2}{5}V = 8

So

V = 8 \cdot \frac{5}{2} = 20

Thus the original bottle contains   20   ml.

Original water is

\frac{2}{5}\cdot 20 = 8

The larger bottle has capacity

4 \cdot 20 = 80

So the added water is

80 - 20 = 60

Final water amount is

8 + 60 = 68

Answer: D

A full bottle contains 40% oil, 20% vinegar, and 40% water. The bottle

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A full bottle contains 40% oil, 20% vinegar, and 40% water. The bottle

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