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# IR Doubt

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Intern
Joined: 09 May 2016
Posts: 43

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22 Mar 2017, 12:26
A factory produces one type of widget. This month, the factory raised the price of each widget to X% of the original price. However, the factory only sold Y% as many widgets as last month, and the total revenue from the sale of widgets was equal for last month and this month.

In the table, identify the values of X and Y that are consistent with the information provided. Make only two selections, one in each column.

X Y Value
50
62.5
75
150
160
180

In this IR question my doubt is ,in explanation they mentioned: If the revenues are equal for the two months, then:

wp = (Y/100) × (w) × (X/100) × ( p)

But in question they have written " the factory raised the price of each widget to X% of the original price" so should it not be p+(x/100)*p.

Manager
Joined: 17 May 2015
Posts: 236

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25 Mar 2017, 22:46
KARISHMA315 wrote:
A factory produces one type of widget. This month, the factory raised the price of each widget to X% of the original price. However, the factory only sold Y% as many widgets as last month, and the total revenue from the sale of widgets was equal for last month and this month.

In the table, identify the values of X and Y that are consistent with the information provided. Make only two selections, one in each column.

X Y Value
50
62.5
75
150
160
180

In this IR question my doubt is ,in explanation they mentioned: If the revenues are equal for the two months, then:

wp = (Y/100) × (w) × (X/100) × ( p)

But in question they have written " the factory raised the price of each widget to X% of the original price" so should it not be p+(x/100)*p.

Hi KARISHMA315,

Raised by x% => p + xp/100 but Raised to x% => px/100

Hope this helps.
Intern
Joined: 09 May 2016
Posts: 43

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26 Mar 2017, 00:49
ganand wrote:
KARISHMA315 wrote:
A factory produces one type of widget. This month, the factory raised the price of each widget to X% of the original price. However, the factory only sold Y% as many widgets as last month, and the total revenue from the sale of widgets was equal for last month and this month.

In the table, identify the values of X and Y that are consistent with the information provided. Make only two selections, one in each column.

X Y Value
50
62.5
75
150
160
180

In this IR question my doubt is ,in explanation they mentioned: If the revenues are equal for the two months, then:

wp = (Y/100) × (w) × (X/100) × ( p)

But in question they have written " the factory raised the price of each widget to X% of the original price" so should it not be p+(x/100)*p.

Hi KARISHMA315,

Raised by x% => p + xp/100 but Raised to x% => px/100

Hope this helps.

Thanks , that helped
Re: IR Doubt &nbs [#permalink] 26 Mar 2017, 00:49
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# IR Doubt

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