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# A vendor sells 60 percent of apples he had and throws away 15 percent

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Math Expert
Joined: 02 Sep 2009
Posts: 64096
A vendor sells 60 percent of apples he had and throws away 15 percent  [#permalink]

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22 May 2016, 13:50
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25% (medium)

Question Stats:

78% (01:22) correct 22% (01:54) wrong based on 79 sessions

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A vendor sells 60 percent of apples he had and throws away 15 percent of the remainder. Next day he sells 50 percent of the remainder and throws away the rest. What percent of his apples does the vendor throw?

(A) 17
(B) 23
(C) 75
(D) 77
(E) None of these

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Re: A vendor sells 60 percent of apples he had and throws away 15 percent  [#permalink]

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22 May 2016, 16:02
Bunuel wrote:
A vendor sells 60 percent of apples he had and throws away 15 percent of the remainder. Next day he sells 50 percent of the remainder and throws away the rest. What percent of his apples does the vendor throw?

(A) 17
(B) 23
(C) 75
(D) 77
(E) None of these

Let the number of apples= 100

sold 60% = 60 apples...remaining =40

Thrown away 15%= 6 apples

Remaining =40-6=34
sold 50 % of remaining = 34/2=17
Remaining thrown away = 17 apples

Total thrown away =6+17=23

Percentage thrown = 23/100=23%

Math Expert
Joined: 02 Aug 2009
Posts: 8586
Re: A vendor sells 60% of apples he had and throws away 15 percent of the  [#permalink]

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26 May 2016, 06:39
satishchaudharygmat wrote:
A vendor sells 60% of apples he had and throws away 15 percent of the remainder. next day he sells 50 percent of the remainder and throws away the rest. What percent of his apples does the vendor throw?

A 17
B 23
C 77
D 0
E 75

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Re: A vendor sells 60 percent of apples he had and throws away 15 percent  [#permalink]

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26 May 2016, 06:50
Bunuel wrote:
A vendor sells 60 percent of apples he had and throws away 15 percent of the remainder. Next day he sells 50 percent of the remainder and throws away the rest. What percent of his apples does the vendor throw?

(A) 17
(B) 23
(C) 75
(D) 77
(E) None of these

If there are 100 apples, then the vendor sold 60 apples on the first day and threw 15% of remainder 40 apples, i.e. he threw away 6 apples. He is now left with 34 apples.
Next day he sold 50% of these 34 apples, i.e. he sold 17 apples. He threw away the reminder 17 apple.
So in total he threw 23 apples out of 100.
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Re: A vendor sells 60 percent of apples he had and throws away 15 percent  [#permalink]

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26 May 2016, 07:31
Bunuel wrote:
A vendor sells 60 percent of apples he had and throws away 15 percent of the remainder. Next day he sells 50 percent of the remainder and throws away the rest. What percent of his apples does the vendor throw?

(A) 17
(B) 23
(C) 75
(D) 77
(E) None of these

Let total apples be 100

Vendor sells 60 apples and throws 15% of 40 i.e. 6

He is now left with 34 apples, of which he sells 50% i.e 17 and throws remaining 17

Total apples thrown away= 17+6= 23

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Re: A vendor sells 60 percent of apples he had and throws away 15 percent  [#permalink]

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27 May 2016, 02:51
satishchaudharygmat wrote:
A vendor sells 60% of apples he had and throws away 15 percent of the remainder. next day he sells 50 percent of the remainder and throws away the rest. What percent of his apples does the vendor throw?

A 17
B 23
C 77
D 0
E 75

Assume total apples initially = 100x
Apples left after selling 60% = 100x - 60x = 40x

15% of 40x = 6x

Remaining apples = 34x

50% of the remaining sold = 17x
Thrown away apples = 17x

Total apples thrown away = 17x + 6x = 23x = 23%

Correct Option: B
Re: A vendor sells 60 percent of apples he had and throws away 15 percent   [#permalink] 27 May 2016, 02:51