A juice manufacturer has 1,200 liters of mango pulp in stock, 25 perce

Question

A juice manufacturer has 1,200 liters of mango pulp in stock, 25 percent of which is water. If the manufacturer adds another 400 liters of mango pulp of which 20 percent is water, what percent, by volume, of the manufacturer’s mango pulp contains water?

(A) 21.50%
(B) 23.75%
(C) 33.33%
(D) 35.00%
(E) 37.50%

(A) 21.50%
(B) 23.75%
(C) 33.33%
(D) 35.00%
(E) 37.50%

BrentGMATPrepNow · Accepted Answer

A juice manufacturer has 1,200 liters of mango pulp in stock, 25 percent of which is water.   
25% of 1,200 = 300
So, the 1,200 liters of mango pulp contains   300 liters of water  .

If the manufacturer adds another 400 liters of mango pulp of which 20 percent is water, ...  
20% of 400 = 80
So, the 400 liters of mango pulp contains   80 liters of water  .

...what percent, by volume, of the manufacturer’s mango pulp contains water?  
1,200 + 400 = 1,600. 
So, we now have 1,600 liters of mango pulp.

300   +   80   =   380   
So, there are   380   liters of water in the 1,600 liters of mango pulp.

380/1600 = 38/160 = 19/80 = 23.75%

Answer: B

EuropaGust · Answer

Total water = 0.25*1200+0.20*400 = 300+80 = 380 L

Percentage of water in pulp = 380/(1200+400)=380/1600

As 380~400, 380/1600 should be a little less than 0.25 i.e. 25%

From options, 23.75%, Option B

Jainam24 · Answer

Applied a method by which I didn't have to calculate at all. 
Here is the process: 
Method: Eliminating options 
Lets call the 1200 litre pulp having 25% water content as P and 400 litre pulp having 20% water content as Q

Therefore  water content of P & Q combined has to be between 20 and 25 
Eliminate C, D and E 
Down to A and B 
The average of P and Q i.e. i f P and Q pulp were available in equal quantity would lead to water content of 22.5%

Since P>Q, it means that the ans will be closer to 25 than to 20

Thus B is our ans

CrackverbalGMAT · Answer

Its a question on analyzing percentage and the effect of percentage change.

The 1200 lit of mango pulp that contains 25 percent water equals 25/100 *1200 =300 lit of water

The 400 liters of mango pulp of which 20 percent or 1/5th is water amounts to 80 lit of water. This when added to the 1200 lit makes 1600 lit of which 300+80 or 380 lit is water.

=>Percent, by volume, of the manufacturer’s mango pulp that contains water= Water volume/ Total Juice volume(New) * 100

= 380 / 1600 *100

= 23.75%   (option b)
 
  Devmitra Sen
GMAT SME

A juice manufacturer has 1,200 liters of mango pulp in stock, 25 perce

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