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

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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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71% (01:12) correct 28% (00:44) wrong based on 28 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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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%
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Re: If 150 were increased by 60% and then decreased by y [#permalink]  04 Jun 2018, 07:19
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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
Retired Moderator
Joined: 07 Jun 2014
Posts: 4803
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
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Kudos [?]: 2917 [0], given: 394

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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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%

The best answer is A.
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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?
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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
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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

Director
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Re: If 150 were increased by 60% and then decreased by y [#permalink]  17 Sep 2019, 05:44
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%

Not this>>> 240-190 = 50.

This will be: $$240-192 = 48.$$
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Re: If 150 were increased by 60% and then decreased by y   [#permalink] 17 Sep 2019, 05:44
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