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The arithmetic mean of a set of p terms is 75 and arithmetic mean of a
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02 Oct 2024, 00:20
02 Oct 2024, 00:20
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The arithmetic mean of a set of p terms is 75 and arithmetic mean of another set having n terms is 92. What is the value of \(\frac{p}{n}\), if the combined average of the two sets is 84?
A. 5/6
B. 6/7
C. 7/8
D. 8/9
E. 9/10
A. 5/6
B. 6/7
C. 7/8
D. 8/9
E. 9/10
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Re: The arithmetic mean of a set of p terms is 75 and arithmetic mean of a
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03 Oct 2024, 18:27
03 Oct 2024, 18:27
1
The arithmetic mean of a set of p terms is 75 => (Sum Set 1)/p = 75 <=> Sum Set 1 = 75p
The arithmetic mean of a set of n terms is 92 => (Sum Set 2)/n = 92 <=> Sum Set 2 = 92n
The combined average of the two sets is 84 => (Sum Set 1 + Sum Set 2)/(p + n) = 84 <=> (75p + 92n)/(p + n) = 84 <=> 75p + 92n = 84p + 84n <=> p/n = 8/9
=> D
The arithmetic mean of a set of n terms is 92 => (Sum Set 2)/n = 92 <=> Sum Set 2 = 92n
The combined average of the two sets is 84 => (Sum Set 1 + Sum Set 2)/(p + n) = 84 <=> (75p + 92n)/(p + n) = 84 <=> 75p + 92n = 84p + 84n <=> p/n = 8/9
=> D
gmatclubot
Re: The arithmetic mean of a set of p terms is 75 and arithmetic mean of a [#permalink]
03 Oct 2024, 18:27
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