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If 150 were increased by 60% and then decreased by y percent, the resu
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08 Jun 2018, 23:50
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
(A) 20
(B) 28
(C) 32
(D) 72
(E) 80
Re: If 150 were increased by 60% and then decreased by y percent, the resu
[#permalink]
09 Jun 2018, 00:25
09 Jun 2018, 00:25
Bunuel
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
(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)
Re: If 150 were increased by 60% and then decreased by y percent, the resu
[#permalink]
09 Jun 2018, 06:32
09 Jun 2018, 06:32
Bunuel
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
(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)
