It is currently 20 Feb 2019, 11:58

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

If 150 were increased by 60% and then decreased by y

Author Message
TAGS:
GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4856
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 102

Kudos [?]: 1741 [1] , given: 397

If 150 were increased by 60% and then decreased by y [#permalink]  02 Jun 2018, 03:54
1
KUDOS
Expert's post
00:00

Question Stats:

70% (01:01) correct 30% (00:47) wrong based on 10 sessions
If 150 were increased by 60% and then decreased by y percent, the result would be 192. What is the value of y?

(A) 20
(B) 28
(C) 32
(D) 72
(E) 80
[Reveal] Spoiler: OA

_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

Manager
Joined: 29 Nov 2017
Posts: 190
Location: United States
GRE 1: Q142 V146
WE: Information Technology (Computer Software)
Followers: 0

Kudos [?]: 78 [1] , given: 99

Re: If 150 were increased by 60% and then decreased by y [#permalink]  04 Jun 2018, 07:02
1
KUDOS
In ordet to solve this question we need to take in to consideration following
150*1.60=240
now
240-190 = 50.

Now since our base value is 240 therefore 50/240 * 100 = 20,

Y = 20%
Intern
Joined: 03 Jun 2018
Posts: 6
Followers: 0

Kudos [?]: 4 [1] , given: 0

Re: If 150 were increased by 60% and then decreased by y [#permalink]  04 Jun 2018, 07:19
1
KUDOS
Correct Approach :

150* 1.6* (1-0.0Y ) = 192
240 (1-0.0Y ) = 192
0.0Y = 1 - 192/240
Y/100 = 48/240
Y = 4800/240
Y = 20
Hence, A
GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4856
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 102

Kudos [?]: 1741 [0], given: 397

Re: If 150 were increased by 60% and then decreased by y [#permalink]  14 Jul 2018, 04:50
Expert's post
Explanation

First, find the value of 150 increased by 60%: (150)(1.6) = 240. If 240 were then decreased by y percent, the result would be 192.

Because 240 is decreased by 48 to get 192, the question can be rephrased: 48 is what percent of 240?

$$48=\frac{x}{100}\times 240$$.

$$x=20$$.
_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

Manager
Joined: 06 Jun 2018
Posts: 94
Followers: 0

Kudos [?]: 58 [0], given: 0

Re: If 150 were increased by 60% and then decreased by y [#permalink]  17 Jul 2018, 10:40
sandy wrote:
If 150 were increased by 60% and then decreased by y percent, the result would be 192. What is the value of y?

(A) 20
(B) 28
(C) 32
(D) 72
(E) 80

Given

1. 150 were increased by 60%

= 150 * 160%

= 150 * (160/100)

= 240.

2. decreased by y % . Final result is 192.

Difference = ( 240 - 192) = 48

SO, we know that this 48 once was the part of 240. So ,we can find out the value of y in terms of 240.

(48/240)*100

= 20%

Director
Joined: 09 Nov 2018
Posts: 501
Followers: 0

Kudos [?]: 20 [0], given: 1

Re: If 150 were increased by 60% and then decreased by y [#permalink]  14 Jan 2019, 19:47
IshanGre wrote:
In ordet to solve this question we need to take in to consideration following
150*1.60=240
now
240-190 = 50.

Now since our base value is 240 therefore 50/240 * 100 = 20,

Y = 20%

Could you please explain when we can do approximation and when we can not?
Supreme Moderator
Joined: 01 Nov 2017
Posts: 349
Followers: 4

Kudos [?]: 98 [0], given: 2

Re: If 150 were increased by 60% and then decreased by y [#permalink]  14 Jan 2019, 22:43
Expert's post
sandy wrote:
If 150 were increased by 60% and then decreased by y percent, the result would be 192. What is the value of y?

(A) 20
(B) 28
(C) 32
(D) 72
(E) 80

150 were increased by 60% = $$150(1+\frac{60}{100})=15*16=240$$..

decreased by y percent means $$240(1-\frac{y}{100})=192......240(100-y)=19200......100-y=\frac{19200}{240}=80......y=100-80=20$$

A
_________________

Some useful Theory.
1. Arithmetic and Geometric progressions : https://greprepclub.com/forum/progressions-arithmetic-geometric-and-harmonic-11574.html#p27048
2. Effect of Arithmetic Operations on fraction : https://greprepclub.com/forum/effects-of-arithmetic-operations-on-fractions-11573.html?sid=d570445335a783891cd4d48a17db9825
3. Remainders : https://greprepclub.com/forum/remainders-what-you-should-know-11524.html
4. Number properties : https://greprepclub.com/forum/number-property-all-you-require-11518.html
5. Absolute Modulus and Inequalities : https://greprepclub.com/forum/absolute-modulus-a-better-understanding-11281.html

Re: If 150 were increased by 60% and then decreased by y   [#permalink] 14 Jan 2019, 22:43
Display posts from previous: Sort by