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If 150 were increased by 60% and then decreased by y percent, the resu

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If 150 were increased by 60% and then decreased by y percent, the resu  [#permalink]

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New post 08 Jun 2018, 23:50
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Re: If 150 were increased by 60% and then decreased by y percent, the resu  [#permalink]

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New post 09 Jun 2018, 00:25
Bunuel 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


When 150 is increased by 60% or \(\frac{60}{100} * 150 = 90\), the resulting number is \(240(150 + 90)\)
When the number is decreased by y percent, it becomes 192. The decrease is \(48(240 - 192)\)

y percent of 240 must be 48, \(\frac{y}{100} * 240 = 48\)

Solving for y, we get y = \(\frac{48 * 100}{240} = 20\). Therefore, the value of y is 20(Option A)
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Re: If 150 were increased by 60% and then decreased by y percent, the resu  [#permalink]

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New post 09 Jun 2018, 06:32
Bunuel 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


When 150 were increased by 60% , resultant value is 150(1+\(\frac{60}{100}\))

This resultant value is decreased by y%, the new resultant value is:150(1+\(\frac{60}{100}\))(1-\(\frac{y}{100}\))


Given that 150(1+\(\frac{60}{100}\))(1-\(\frac{y}{100}\))=192
Or, 150*1.6(1-\(\frac{y}{100}\))=192
Or, \(\frac{y}{100}\)=1- \(\frac{192}{150*1.6}\)=1-\(\frac{12}{15}\)
Or, y=\(\frac{3}{15}\)*100=20

Ans. option (A)
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If 150 were increased by 60% and then decreased by y percent, the resu  [#permalink]

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New post 11 Jun 2018, 18:28
Bunuel 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 increased by 60% = ?
\((150*1.6) = (150*\frac{8}{5}) = 240\)

240 decreases by \(y\) percent to 192

Percent change, y: \(\frac{New-Old}{Old}*100\)

Percent change, y: \(\frac{240-192}{240}*100=\)

\((\frac{48}{240}*100)=
(\frac{2}{10}*100)=\)

\((.2*100)=20\) percent

Answer A
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Re: If 150 were increased by 60% and then decreased by y percent, the resu  [#permalink]

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New post 14 Jul 2018, 00:22
60% increase over 150 = 150 + 150*0.6 = 240
Post Y% decrease = 192
Change = 240-192 = 48
Y% = (\(\frac{48}{240}\))*100 = 20%
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Re: If 150 were increased by 60% and then decreased by y percent, the resu  [#permalink]

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New post 14 Jul 2018, 10:46
Bunuel 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% = \(\frac{160}{100}*150 = 240\)

Then reduced by y% to result in 192, so % decrease is \(\frac{(240 - 192)}{240}*100\) = 20%, Answer must be (A)
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Re: If 150 were increased by 60% and then decreased by y percent, the resu &nbs [#permalink] 14 Jul 2018, 10:46
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