GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 24 Apr 2019, 05:42

GMAT Club Daily Prep

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

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

The price of car A increased by 20 percent over the same time period

Author Message
TAGS:

Hide Tags

Manager
Joined: 19 Nov 2009
Posts: 230
The price of car A increased by 20 percent over the same time period  [#permalink]

Show Tags

28 Mar 2010, 16:28
1
00:00

Difficulty:

15% (low)

Question Stats:

84% (01:35) correct 16% (01:51) wrong based on 108 sessions

HideShow timer Statistics

The price of car A increased by 20 percent over the same time period that the price of car B decreased by 20 percent. The reduced price of car B was what percent of the original price of car A?

(1) The increased price of car A is equal to the original price of car B.
(2) The increase in price of car A was 5/6 the decrease in the price of car B.
Manager
Joined: 20 Mar 2010
Posts: 77
Re: The price of car A increased by 20 percent over the same time period  [#permalink]

Show Tags

28 Mar 2010, 18:01
1
If a and b are the original prices of car A and car B respectively
After the change their prices will be 1.2a and 0.8b
We need to find what percent of car A original price is the reduced price of car B i.e 0.8b/a *100

As per 1 increase price of car A is equal to the original price of car B i.e 1.2a=b from which we can calculate b/a and the required percentage so 1 alone is sufficient
As per 2 increase in price of car A was 5/6 the decrease in the price of car B i.e 0.2a = 5/6*(0.2b) from which we can calculate b/a and the required percentage so 2 alone is sufficient.

_________________
___________________________________
Please give me kudos if you like my post
Manager
Joined: 05 Mar 2010
Posts: 165
Re: The price of car A increased by 20 percent over the same time period  [#permalink]

Show Tags

29 Mar 2010, 02:43
First thought answer is A but agree with the explanation given by Crack700

_________________
Success is my Destiny
Manager
Joined: 27 Dec 2009
Posts: 138
Re: The price of car A increased by 20 percent over the same time period  [#permalink]

Show Tags

29 Mar 2010, 12:33
crack700 wrote:
If a and b are the original prices of car A and car B respectively
After the change their prices will be 1.2a and 0.8b
We need to find what percent of car A original price is the reduced price of car B i.e 0.8b/a *100

As per 1 increase price of car A is equal to the original price of car B i.e 1.2a=b from which we can calculate b/a and the required percentage so 1 alone is sufficient
As per 2 increase in price of car A was 5/6 the decrease in the price of car B i.e 0.2a = 5/6*(0.2b) from which we can calculate b/a and the required percentage so 2 alone is sufficient.

Good explanation . Answer would be D
Senior Manager
Joined: 06 Jul 2016
Posts: 364
Location: Singapore
Concentration: Strategy, Finance
Re: The price of car A increased by 20 percent over the same time period  [#permalink]

Show Tags

21 Jul 2017, 01:40
1
nsp007 wrote:
The price of car A increased by 20 percent over the same time period that the price of car B decreased by 20 percent. The reduced price of car B was what percent of the original price of car A?

(1) The increased price of car A is equal to the original price of car B.
(2) The increase in price of car A was 5/6 the decrease in the price of car B.

Car A = $x Car B =$ y

New Car A Price = $1.2x New Car B Price =$0.8y

z = $$\frac{(0.8y*100)}{x}$$
z = ?

1) 1.2x = y
$$\frac{y}{x}$$ = 1.2
Put this in z = $$\frac{(0.8y*100)}{x}$$ and we get the value of z.
z = 96%
Sufficient.

2) 0.2x = $$\frac{5}{6}$$*0.2y
$$\frac{y}{x}$$ = $$\frac{6}{5}$$
Put this in z = $$\frac{(0.8y*100)}{x}$$ and we get the value of z.
z = 96%
Sufficient.

_________________
Put in the work, and that dream score is yours!
Re: The price of car A increased by 20 percent over the same time period   [#permalink] 21 Jul 2017, 01:40
Display posts from previous: Sort by