A bottle is 80% full. The liquid in the bottle consists of 60% guava

if the Bottle is 100 ml:
we have 48% Guava, 32% Pineapple, and 20% Rum.
Now, is the bottle 20% of rum is represented by 70 ml. So, we have to find for the same bottle 48% guava is what ml?
therefore, Guava= (70*48)/20= 168 ml

Everything you have done so far is correct. 210 is a trap answer, however.

Since the bottle is only 80% filled with the mixture of guava and pineapple, the solution gets diluted when the rum is added.

So going from where you left off that 60% of liquid is guava yielding 210lm:

210lm * 80% of total = 168lm.

The 210lm would be accurate if the bottle was filled with the same ratio of pineapple to guava for the last 80%. However, rum is used instead, so you must account for the new material that makes up 20% of the bottle.

BDSunDevil's method also works, but I found this one to be more intuitive (for me, at least). Hope this helped.

Bottle has 80% juice of which 60% is guava
guava juice is 48 % of bottle...... since rum( 20%) is 70ml.......then guava juice is 70*2.4 = 168ml

avenkatesh007,
why did you multiply 70 by 2.4? and why originally did u multiply the 70?

The question tells you the following:
A bottle is 80% full of a liquid. [highlight]60% of the liquid[/highlight] is guava juice and [highlight]40% of the liquid[/highlight] is pineapple juice. (mind you, this is not 60% of the bottle. Say, if the bottle's volume is 100 ml, liquid in it is 80 ml. Guava juice is 60% of the 80 ml (= 48 ml), not of the 100 ml. Similarly, pineapple juice is 40% of the 80 ml (= 32 ml) )

So what [highlight]% of the bottle[/highlight] is full of guava juice? 60% of the 80% = 48%
What [highlight]% of the bottle[/highlight] is full of pineapple juice? 40% of the 80% = 32%
Total 48%+32% = 80% as expected since the total liquid in the bottle is 80%

Rum = 20% of the bottle which is 70 ml
Total volume of the bottle = 350 ml
Guava juice is 48% of the bottle = 48% of 350 = 168 ml

Therefore, when you say, "60% of the liquid is guava juice, then .6(350)=210 lm", you make an error. It is not 60% of 350 because that is the volume of the bottle. It is 60% of 80% of 350 = .6 * .8 * 350 = 168 ml

Assume the total volume = 100x
Volume of liquid in the bottle = 80x

Guava juice = 0.6*80x = 48x
Pineapple juice = 0.4*80x = 32x

Remainder of bottle = 20x = 70 ml
x = 3.5ml

Hence, guava juice = 48*3.5 = 168 ml

Here is how I did it.

If 20% is 70ml, 80%= 70* 80/20= 280

Out of this 80%, 60% is guava

280/860/100= 168

bottle is 80% full = 0.8x (where x is the total capacity of the bottle)
The liquid in the bottle consists of 60% guava juice = 0.8x*0.6=0.48x
40% pineapple juice = 0.8x*0.4=0.32x

as per the question

0.2x=70
x= 350
guava juice = 0.48*350=168 ml

Here is my approach.
We can actually solve this via different methods
Lets use the percent approach.
20 percent => 70 ml
hence 100 percent => 350 ml

80 percent => 280 ml
so out of 280 ml => 60 percent is guava juice.
60/100 *280 => 168.
so currently there is 168 ml of Guava Juice.

A bottle is 80% full. The liquid in the bottle consists of 60% guava juice and 40% pineapple juice. The remainder of the bottle is then filled with 70 mL of rum. How much guava juice is in the bottle?

Bottle is 80% Full

Remaining portion is 70mL rum

Which means 20% = 70mL

So, we can calculate, the volume of 80% = \(\frac{80 * 70}{20}\)

So, 80% volume \(= 280 mL\)

Guava is 60% of 280 mL

\(= \frac{60 * 280}{100}\)

= 168 mL

Hence, the answer is A

Since the bottle is initially 80% full and the remainder of the bottle is filled with 70 mL of rum, the amount of rum accounts for 20% of the capacity of the bottle. We can let x = the total number of mLs in the bottle and create the following equation:

0.2x = 70

x = 70/0.2

x = 350

The capacity of the entire bottle is 350 mL. This means that it was initially filled with 80% of 350 mL of juice, which is 0.8 x 350 = 280.

So, the bottle initially had 280 mL of juice and 60% of that amount was guava juice: 0.6 x 280 = 168 mL.

Answer: A

answer must be integer
only 168 divides evenly by .6*.8
A

I should like read the question completely

Lets see 20% x = 70, x = 350

Remaining solution of guava juice and pineapple juice = 280

Now that 280 is divided in the ratio of 3:2

-----GJ----------PJ
-----60----------40
-----3------------2

total value => 3x + 2x = 280 => x = 56

Now we need guava juice is in the bottle = 56 * 3 = 168 mL

A

Total capacity of bottle = x/5 = 70 => x = 350
Guava Juice = (4/5) * 350 * (3/5) = 168
Therefore, answer = A.

GMATPrepNow
Answer is A,not B.

Oops! Thanks for the heads up. I have edited my response.
Kudos for you!!

Cheers,
Brent