Audrey went shopping with D dollars. She spent 20% of her money on a : Problem Solving (PS)

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Audrey went shopping with D dollars. She spent 20% of her money on a

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Audrey went shopping with D dollars. She spent 20% of her money on a [#permalink]

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06 Nov 2018, 07:13

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Difficulty:

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Question Stats:

94% (00:55) correct

6% (01:34) wrong

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Audrey went shopping with D dollars. She spent 20% of her money on a blouse and 25% of what was left on a pair of shoes. What per cent of the original D dollars did she spend?

(A) 25%
(B) 40%
(C) 45%
(D) 47%
(E) 50%

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Re: Audrey went shopping with D dollars. She spent 20% of her money on a [#permalink]

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06 Nov 2018, 07:38

Quote:

Audrey went shopping with D dollars. She spent 20% of her money on a blouse and 25% of what was left on a pair of shoes. What per cent of the original D dollars did she spend?

Let D = $ 100

She spent on blouse: (20/100) * 100 = $ 20 .... (1)

Remaining amount that she has: $ 80

Of this 25% ie 1/4 she spent on shoes. So amount that she spent on shoes = $ 80 * (1/4) = $ 20 . .. (2)

Total amount spent = (1) + (2) = $40 and 40/100 = 40%

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OA: B

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Re: Audrey went shopping with D dollars. She spent 20% of her money on a [#permalink]

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06 Nov 2018, 08:45

Spent on blouse : 0.2D
Spent on shoes: 0.25(1-0.2)D=0.25*0.8 D= 0.2D
Total spent = 0.2D+0.2D =0.4D i.e, 40 % of D dollars.... Ans B
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Re: Audrey went shopping with D dollars. She spent 20% of her money on a [#permalink]

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07 Nov 2018, 04:19

let the D be 100.

Blouse = 20

Remaining = 80

Shoes = 80 * 25% = 20

Total expenditure = 40 .

So, she spends 40% of the D.

The correct answer is B.

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Re: Audrey went shopping with D dollars. She spent 20% of her money on a [#permalink]

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08 Nov 2018, 05:32

Total amount she has is D dollars.

so she spent 0.2D remains 0.8D. From the remaining she spent 25%

0.8 = 4/5

4/5 * 1/4 = 1/5 means another 20%

She spent 0.2D + 0.2D = 0.4D

Answer choice B

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Re: Audrey went shopping with D dollars. She spent 20% of her money on a [#permalink]

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08 Nov 2018, 06:21

HKD1710 wrote:

Project PS Butler : Question #01

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Let D = 100

Amount spent on Blouse = 20 ; Amount Left = 80
Amount spent on Shours = 20 ; Amount Left = 60

Thus, Amount spent is 40; Answer must be (B) 40 %
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Re: Audrey went shopping with D dollars. She spent 20% of her money on a [#permalink]

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26 Nov 2018, 03:03

No need to solve. Look at the choices.
It can't be A. since we have spent 20% already.
The total spent is 20% + 25% = 45%, but we have spent 25% of a lesser amount.
Hence the max can be 45% which is C
So the answer must be B 40%