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# m/n = 10 and n/p = 5, where mn ≠ 0. What is the value of m/(n + p)?

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Math Expert
Joined: 02 Sep 2009
Posts: 50000
m/n = 10 and n/p = 5, where mn ≠ 0. What is the value of m/(n + p)?  [#permalink]

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29 Mar 2018, 23:48
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15% (low)

Question Stats:

91% (01:43) correct 9% (01:27) wrong based on 69 sessions

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m/n = 10 and n/p = 5, where mn ≠ 0. What is the value of m/(n + p)?

(A) 25/6
(B) 25/3
(C) 5/3
(D) 10
(E) 12

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Manager
Joined: 05 Feb 2016
Posts: 144
Location: India
Concentration: General Management, Marketing
WE: Information Technology (Computer Software)
Re: m/n = 10 and n/p = 5, where mn ≠ 0. What is the value of m/(n + p)?  [#permalink]

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30 Mar 2018, 00:03
m=10n
n=5p
replacing values in m/(n + p)
10*5p/(5p+p)=25/3
option B
BSchool Forum Moderator
Joined: 07 Jan 2016
Posts: 761
Location: India
Schools: ISB '20 (II)
GMAT 1: 710 Q49 V36
Re: m/n = 10 and n/p = 5, where mn ≠ 0. What is the value of m/(n + p)?  [#permalink]

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30 Mar 2018, 00:10
Bunuel wrote:
m/n = 10 and n/p = 5, where mn ≠ 0. What is the value of m/(n + p)?

(A) 25/6
(B) 25/3
(C) 5/3
(D) 10
(E) 12

m/n=10
m= 10n

n/p = 5
p = n/5

m/(n+p) = 10n/(n+n/5) = 10n/( 6n/5) = 50/6 = 25/3
SVP
Joined: 26 Mar 2013
Posts: 1836
m/n = 10 and n/p = 5, where mn ≠ 0. What is the value of m/(n + p)?  [#permalink]

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01 Apr 2018, 11:55
Bunuel wrote:
m/n = 10 and n/p = 5, where mn ≠ 0. What is the value of m/(n + p)?

(A) 25/6
(B) 25/3
(C) 5/3
(D) 10
(E) 12

$$\frac{n}{p}$$ = 5

$$\frac{n}{(n+p)}$$ = $$\frac{5}{6}$$

Multiply both ratios:

$$\frac{n}{(n+p)}$$*$$\frac{m}{n}$$ = $$\frac{m}{(n+p)}$$ = $$\frac{5}{6}$$* 10 = $$\frac{25}{3}$$

Intern
Joined: 01 Apr 2018
Posts: 8
Re: m/n = 10 and n/p = 5, where mn ≠ 0. What is the value of m/(n + p)?  [#permalink]

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01 Apr 2018, 13:05
Bunuel wrote:
m/n = 10 and n/p = 5, where mn ≠ 0. What is the value of m/(n + p)?

(A) 25/6
(B) 25/3
(C) 5/3
(D) 10
(E) 12

From the given details put all values in common term I.e. say “n” so m=10 n and p =n/5 and put in required expression
=10n/(n+n/5)
=10*5/(5+1)
=50/6
=25/3

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Joined: 08 Jul 2010
Posts: 2541
Location: India
GMAT: INSIGHT
WE: Education (Education)
Re: m/n = 10 and n/p = 5, where mn ≠ 0. What is the value of m/(n + p)?  [#permalink]

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01 Apr 2018, 22:34
Bunuel wrote:
m/n = 10 and n/p = 5, where mn ≠ 0. What is the value of m/(n + p)?

(A) 25/6
(B) 25/3
(C) 5/3
(D) 10
(E) 12

m/n = 10 = 20/2 = 30/3 = 40/4 = 50/5

n/p = 5/1

i.e. when n = 5, p = 1 and m = 50 hence

m/(n+p) = 50/(5+1) = 50/6 = 25/3

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Re: m/n = 10 and n/p = 5, where mn ≠ 0. What is the value of m/(n + p)? &nbs [#permalink] 01 Apr 2018, 22:34
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