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Manager
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Of the mutual funds on a select list, 1/3 have 5-star [#permalink]
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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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
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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.
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My two cents: 300=(2/3)*(3/5)*Total Total=750 B Which is the OA? Cheers
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yes I m also getting B as answer
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Manager
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I got 1125, can someone show solution of this problem?
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Manager
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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
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kazakhb wrote: I got 1125, can someone show solution of this problem? My post has the steps.
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Manager
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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?
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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.
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Senior Manager
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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"
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Manager
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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
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