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

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Math Expert
Joined: 02 Sep 2009
Posts: 58320
A shirt originally cost x dollars. After a y percent increase, the pri  [#permalink]

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22 Jan 2019, 02:28
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Difficulty:

25% (medium)

Question Stats:

73% (01:02) correct 27% (01:17) wrong based on 52 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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Joined: 31 Oct 2013
Posts: 1473
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: A shirt originally cost x dollars. After a y percent increase, the pri  [#permalink]

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22 Jan 2019, 02:32
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)

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

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22 Jan 2019, 05:40
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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Senior Manager
Joined: 15 Feb 2018
Posts: 365
Re: A shirt originally cost x dollars. After a y percent increase, the pri  [#permalink]

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25 Jan 2019, 21:06
$$x(1+\frac{y}{100})=z$$

$$x=\frac{z}{1+\frac{y}{100}}$$

$$x=\frac{z}{\frac{100}{100}+\frac{y}{100}}$$

$$x=\frac{\frac{z}{1}}{\frac{100+y}{100}}$$

$$x=\frac{100z}{100+y}$$
Director
Joined: 09 Mar 2018
Posts: 997
Location: India
Re: A shirt originally cost x dollars. After a y percent increase, the pri  [#permalink]

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25 Jan 2019, 22:37
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]

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18 Sep 2019, 08:40
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

this cant be a gmat questio. its too easy
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Joined: 14 Oct 2015
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Re: A shirt originally cost x dollars. After a y percent increase, the pri  [#permalink]

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23 Sep 2019, 09:49
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

We can create the equation:

x * (100 + y)/100 = z

x * (100 + y) = 100z

x = 100z/(100 + y)

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Re: A shirt originally cost x dollars. After a y percent increase, the pri   [#permalink] 23 Sep 2019, 09:49
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