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

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GMAT Club Legend
Joined: 07 Jun 2014
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GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
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If 150 were increased by 60% and then decreased by y [#permalink]  02 Jun 2018, 03:54
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Expert's post
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Question Stats:

66% (01:03) correct 33% (01:08) wrong based on 6 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

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Sandy
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Manager
Joined: 29 Nov 2017
Posts: 190
Location: United States
GRE 1: Q142 V146
WE: Information Technology (Computer Software)
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Kudos [?]: 77 [1] , given: 99

Re: If 150 were increased by 60% and then decreased by y [#permalink]  04 Jun 2018, 07:02
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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
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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
GMAT Club Legend
Joined: 07 Jun 2014
Posts: 4720
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 91

Kudos [?]: 1622 [0], given: 385

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?

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

$$x=20$$.
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Sandy
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Manager
Joined: 06 Jun 2018
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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%

Re: If 150 were increased by 60% and then decreased by y   [#permalink] 17 Jul 2018, 10:40
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