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

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Math Expert
Joined: 02 Sep 2009
Posts: 46146
If 150 were increased by 60% and then decreased by y percent, the resu [#permalink]

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08 Jun 2018, 23:50
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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

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

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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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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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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

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If 150 were increased by 60% and then decreased by y percent, the resu   [#permalink] 11 Jun 2018, 18:28
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# If 150 were increased by 60% and then decreased by y percent, the resu

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