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HOT Competition (Instagram) 4 Sep/10:00AM: Ana and Saph sold their dou

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Bunuel
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HOT Competition (Instagram) 4 Sep/10:00AM: Ana and Saph sold their dou [#permalink] New post   04 Sep 2020, 10:00
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77% (01:58) correct 23% (02:08) wrong based on 269 sessions
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Ana and Saph sold their doughnut shop for $15,000. They gave most of the proceeds to charity, but Ana kept 6.66% of the sale price, and Saph kept $450 more than three times the amount that Ana kept. Which of the following is closest to the amount that was given to charity?

(A) $3,500
(B) $4,000
(C) $4,500
(D) $10,500
(E) $11,000

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Re: HOT Competition (Instagram) 4 Sep/10:00AM: Ana and Saph sold their dou [#permalink] New post   03 Dec 2021, 02:28
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Ana and Saph sold their doughnut shop for \($15,000\). They gave most of the proceeds to charity, but Ana kept \(6.66\%\) of the sale price, and Saph kept \($450\) more than three times the amount that Ana kept. Which of the following is closest to the amount that was given to charity?

A. \($3,500\)
B. \($4,000\)
C. \($4,500\)
D. \($10,500\)
E. \($11,000\)


Ana kept \(6.66\%\) of the sale price, so she kept \(15,000*6.66*\frac{1}{100} \approx {15,000*6\frac{2}{3}*\frac{1}{100}}=$1,000\).

Saph kept \($450\) more than three times the amount that Ana kept, so he kept \(3*1,000+450=$3,450\).

The amount that was given to charity is therefore \(15,000-(1,000+3,450)=$10,550\).


Answer: D
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Re: HOT Competition (Instagram) 4 Sep/10:00AM: Ana and Saph sold their dou [#permalink] New post   04 Sep 2020, 10:06
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Selling price is 15000
Anna keep= 15000*6.66/100=999
Saph keep= 3*999+450=3447
Total =3447+999=4446
Given to charity=15000-4446=10554
Answer is D

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Re: HOT Competition (Instagram) 4 Sep/10:00AM: Ana and Saph sold their dou [#permalink] New post   04 Sep 2020, 10:08
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Answer - D

Sale price = 15000

Ana's share = 1/15*15000 = $1000
Saph' share = 450 + 3(Ana's share) = $3450

Total share of Ana & Saph = $4450

Amount given to charity = $15000 - $4450 = $10550 ~ $10500( OPTION D)

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Re: HOT Competition (Instagram) 4 Sep/10:00AM: Ana and Saph sold their dou [#permalink] New post   04 Sep 2020, 10:18
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Total Sale Price 15000
Ana Kept 6.66% of 15000 which is 6.66*15000/100=$1000
Also Saph kept 450+3*(Amount kept by Ana)
= 450+3*1000
=3450
Total money kept 1000+3450=4450
Total money for charity=15000-4450
=10550
Closest is 10500
So option D
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Re: HOT Competition (Instagram) 4 Sep/10:00AM: Ana and Saph sold their dou [#permalink] New post   04 Sep 2020, 10:39
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IMO D

Ana and Saph sold their doughnut shop for $15,000. They gave most of the proceeds to charity, but Ana kept 6.66% of the sale price, and Saph kept $450 more than three times the amount that Ana kept. Which of the following is closest to the amount that was given to charity?

Sale Price = $ 15000
6.66% = 1/15

So, Ana Kept = 15000/15 = 1000 &
Saph Kept = $450 + 3x(1000) = $ 3450

So, together they Kept = $ 1000 + $ 3450 = $ 4450

So Amount given to charity= $15000- $4450 = $10,550
Closest number is $10500

(D) $10,500

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Re: HOT Competition (Instagram) 4 Sep/10:00AM: Ana and Saph sold their dou [#permalink] New post   01 Jan 2023, 15:22
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Re: HOT Competition (Instagram) 4 Sep/10:00AM: Ana and Saph sold their dou [#permalink]
01 Jan 2023, 15:22
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