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A shirt originally cost x dollars. After a y percent increase, the pri

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A shirt originally cost x dollars. After a y percent increase, the pri  [#permalink]

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New post 22 Jan 2019, 01:28
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A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

63% (00:57) correct 37% (01:21) wrong based on 30 sessions

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A shirt originally cost x dollars. After a y percent increase, the price of the shirt is z dollars. What is x, in terms of y and z?


A z/(100 + y)

B 100*z/y

C 100z/(100 + y)

D z/y

E (100 + y)/z

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Re: A shirt originally cost x dollars. After a y percent increase, the pri  [#permalink]

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New post 22 Jan 2019, 01:32
Bunuel wrote:
A shirt originally cost x dollars. After a y percent increase, the price of the shirt is z dollars. What is x, in terms of y and z?


A z/(100 + y)

B 100*z/y

C 100z/(100 + y)

D z/y

E (100 + y)/z



Price after increased by y%:

x + y% of x = z

x + xy/100 = z

100x + xy = 100z

x( 100 + y) =100z

x = 100z / ( 100 + y)

C is the correct answer.
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Re: A shirt originally cost x dollars. After a y percent increase, the pri  [#permalink]

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New post 22 Jan 2019, 04:40
Bunuel wrote:
A shirt originally cost x dollars. After a y percent increase, the price of the shirt is z dollars. What is x, in terms of y and z?


A z/(100 + y)

B 100*z/y

C 100z/(100 + y)

D z/y

E (100 + y)/z


x
price increase
x* ( 1+y/100) = z
x= 100*z/ ( 100+y)
IMO C
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Re: A shirt originally cost x dollars. After a y percent increase, the pri  [#permalink]

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New post 25 Jan 2019, 20:06
\(x(1+\frac{y}{100})=z\)

\(x=\frac{z}{1+\frac{y}{100}}\)

\(x=\frac{z}{\frac{100}{100}+\frac{y}{100}}\)

\(x=\frac{\frac{z}{1}}{\frac{100+y}{100}}\)

\(x=\frac{100z}{100+y}\)
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Re: A shirt originally cost x dollars. After a y percent increase, the pri  [#permalink]

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New post 25 Jan 2019, 21:37
Bunuel wrote:
A shirt originally cost x dollars. After a y percent increase, the price of the shirt is z dollars. What is x, in terms of y and z?


A z/(100 + y)

B 100*z/y

C 100z/(100 + y)

D z/y

E (100 + y)/z


Take a simple value

x = 100, y =10 => z = 110

Start from C

100z/(100 + y) =>

100 * 110 / (110) = 100

C
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Re: A shirt originally cost x dollars. After a y percent increase, the pri   [#permalink] 25 Jan 2019, 21:37
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