Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized for You

we will pick new questions that match your level based on your Timer History

Track Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

Percents - Cups of water [#permalink]
07 Jul 2011, 21:00

00:00

A

B

C

D

E

Difficulty:

5% (low)

Question Stats:

80% (01:00) correct
20% (00:47) wrong based on 5 sessions

A bowl was half full of water. 4 cups of water were then added to the bowl, filling the bowl to 70% of its capacity. How many cups of water are now in the bowl?

Re: Percents - Cups of water [#permalink]
07 Jul 2011, 21:18

1

This post received KUDOS

Expert's post

enigma123 wrote:

A bowl was half full of water. 4 cups of water were then added to the bowl, filling the bowl to 70% of its capacity. How many cups of water are now in the bowl?

Ans: 14

Can someone on this forum please explain me the concept behind this question i.e. how to approach these questions? I would like to solve this using the variable i.e. x or something, if you know what I mean. Your help is very much appreciated.

Since you asked for a solution with a variable, Say cup's capacity = x Bowl's capacity = B Bowl is half full i.e. 50%B is full 50/100 * B + 4x = 70/100 * B B = 20x So Bowl's capacity is of 20 cups. If it is 70% full, it has 70/100 * 20 = 14 cups in it.

Otherwise, just think - Bowl is 50% full. It became 70% full i.e. an increase of 20% by adding 4 cups. So each cup adds 5%. 70% full will have 70/5 = 14 cups.
_________________

Re: Percents - Cups of water [#permalink]
07 Jul 2011, 21:50

Hi Karishma - Many thanks for a wonderful reply. I understand the 2nd solution. But have a minor doubt in the first solution with variable which I have highlighted:

cup's capacity = x Bowl's capacity = B Bowl is half full i.e. 50%B is full 50/100 * B + 4x = 70/100 * B B = 20x --> How did you get this? So Bowl's capacity is of 20 cups. If it is 70% full, it has 70/100 * 20 = 14 cups in it.

Apologies if I sound thick and annoying, but your help will be very much appreciated as always.
_________________

Re: Percents - Cups of water [#permalink]
07 Jul 2011, 23:39

1

This post received KUDOS

enigma123 wrote:

Hi Karishma - Many thanks for a wonderful reply. I understand the 2nd solution. But have a minor doubt in the first solution with variable which I have highlighted:

cup's capacity = x Bowl's capacity = B Bowl is half full i.e. 50%B is full 50/100 * B + 4x = 70/100 * B B = 20x --> How did you get this? So Bowl's capacity is of 20 cups. If it is 70% full, it has 70/100 * 20 = 14 cups in it.

Apologies if I sound thick and annoying, but your help will be very much appreciated as always.