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# Of the mutual funds on a select list, 1/3 have 5-star

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Manager
Joined: 03 Oct 2008
Posts: 61
Of the mutual funds on a select list, 1/3 have 5-star [#permalink]

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06 Oct 2008, 07:38
Of the mutual funds on a “select list,” 1/3 have 5-star ratings, and 2/5 of the remaining funds have 4-star ratings. If the remaining 300 funds on the list have 3-star ratings, how many funds are on the list?

A. 500
B. 750
C. 1,000
D. 1,200
E. 1,500

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Retired Moderator
Joined: 05 Jul 2006
Posts: 1741

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06 Oct 2008, 07:51
albany09 wrote:
Of the mutual funds on a “select list,” 1/3 have 5-star ratings, and 2/5 of the remaining funds have 4-star ratings. If the remaining 300 funds on the list have 3-star ratings, how many funds are on the list?

A. 500
B. 750
C. 1,000
D. 1,200
E. 1,500

5/15+6/15 = 11/15

300 = 3/15x thus x = 1500
SVP
Joined: 17 Jun 2008
Posts: 1503

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07 Oct 2008, 00:15
750.

If x is total number of funds then x/3 is the number for 5 star, (2x/3)*2/5 is the number for 4 star.

Total of 5 and 4 start = x/3 + 4x/15 = 9x/15 = 3x/5

Remaining is 2x/5 = 300 and hence, x = 750.
Senior Manager
Joined: 21 Apr 2008
Posts: 477
Schools: Kellogg, MIT, Michigan, Berkeley, Marshall, Mellon

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07 Oct 2008, 01:57
My two cents:

300=(2/3)*(3/5)*Total

Total=750

B

Which is the OA?

Cheers
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VP
Joined: 18 May 2008
Posts: 1203

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07 Oct 2008, 02:23
yes I m also getting B as answer
Manager
Joined: 01 Jan 2008
Posts: 221
Schools: Booth, Stern, Haas

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07 Oct 2008, 02:39
I got 1125, can someone show solution of this problem?
Manager
Joined: 01 Jan 2008
Posts: 221
Schools: Booth, Stern, Haas

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07 Oct 2008, 03:22
yezz wrote:
albany09 wrote:
Of the mutual funds on a “select list,” 1/3 have 5-star ratings, and 2/5 of the remaining funds have 4-star ratings. If the remaining 300 funds on the list have 3-star ratings, how many funds are on the list?

A. 500
B. 750
C. 1,000
D. 1,200
E. 1,500

5/15+6/15 = 11/15

300 = 3/15x thus x = 1500

Shouldn't it be 4/15? Then x is 1125
SVP
Joined: 17 Jun 2008
Posts: 1503

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07 Oct 2008, 03:29
kazakhb wrote:
I got 1125, can someone show solution of this problem?

My post has the steps.
Manager
Joined: 01 Jan 2008
Posts: 221
Schools: Booth, Stern, Haas

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07 Oct 2008, 03:40
scthakur wrote:
kazakhb wrote:
I got 1125, can someone show solution of this problem?

My post has the steps.

in your steps you make an assumption that 4star funds are two times 5star funds, but it is not given. is it?
SVP
Joined: 17 Jun 2008
Posts: 1503

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08 Oct 2008, 01:50
kazakhb wrote:
scthakur wrote:
kazakhb wrote:
I got 1125, can someone show solution of this problem?

My post has the steps.

in your steps you make an assumption that 4star funds are two times 5star funds, but it is not given. is it?

No. Let us begin all over again.

If x is total number of funds then x/3 is the number for 5 star. Remaining is (x-x/3) = 2x/3.

numer of 4 start funds is 2/5 of the remaining 2x/5 and hence (2x/3)*2/5 is the number for 4 star.

Hope, this clarifies.
Senior Manager
Joined: 05 Jun 2008
Posts: 293

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08 Oct 2008, 02:00
albany09 wrote:
Of the mutual funds on a “select list,” 1/3 have 5-star ratings, and 2/5 of the remaining funds have 4-star ratings. If the remaining 300 funds on the list have 3-star ratings, how many funds are on the list?

A. 500
B. 750
C. 1,000
D. 1,200
E. 1,500

Let X are the total funds, then (1/3)x + (2/3)*(2/5)*x are the 5-star and 4-star funds

x- (1/3)x + (2/3)*(2/5)*x = 300

(9/15) X = 300 and X = 750
ans is "B"
Manager
Joined: 27 Sep 2008
Posts: 76

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08 Oct 2008, 02:08
vivektripathi wrote:
albany09 wrote:
Of the mutual funds on a “select list,” 1/3 have 5-star ratings, and 2/5 of the remaining funds have 4-star ratings. If the remaining 300 funds on the list have 3-star ratings, how many funds are on the list?

A. 500
B. 750
C. 1,000
D. 1,200
E. 1,500

Let X are the total funds, then (1/3)x + (2/3)*(2/5)*x are the 5-star and 4-star funds

x- (1/3)x + (2/3)*(2/5)*x = 300

(9/15) X = 300 and X = 750
ans is "B"

Same answer here (B) for me ! only 2/3*3/5 = 300/x and x=750

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
Re: Math problem   [#permalink] 08 Oct 2008, 02:08
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# Of the mutual funds on a select list, 1/3 have 5-star

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