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If mn ≠ 0 and 25 percent of n equals 37(1/2) percent of m, what is the
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If mn ≠ 0 and 25 percent of n equals \(37\frac{1}{2}\) percent of m, what is the value of \(\frac{12n}{m}\)? A) 18 B) \(\frac{32}{3}\) C) 8 D) 3 E) \(\frac{9}{8}\) OG 2017 New Question
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Originally posted by AbdurRakib on 15 Jun 2016, 00:25.
Last edited by Bunuel on 03 Oct 2017, 00:58, edited 3 times in total.
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Re: If mn ≠ 0 and 25 percent of n equals 37(1/2) percent of m, what is the
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05 Dec 2016, 17:37
AbdurRakib wrote: If mn ≠ 0 and 25 percent of n equals \(37{}^1/_2\) percent of m, what is the value of \(\frac{12n}{m}\)?
A) 18 B) \(\frac{32}{3}\) C) 8 D) 3 E) \(\frac{9}{8}\) We are given that 25 percent of n = 37 1/2 percent of m. So we have: (25/100)n = (37.5/100)m We can multiply both sides by 100: 25n = 37.5m We can multiply both sides by 10: 250n = 375m We can divide both sides by 25: 10n = 15m 2n = 3m We can multiply both sides by 6 to get the 12n in the numerator of (12n)/m: 12n = 18m Finally, divide both sides by m, obtaining the value of (12n)/m: (12n)/m = 18 Answer: A
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Re: If mn ≠ 0 and 25 percent of n equals 37(1/2) percent of m, what is the
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09 Aug 2016, 17:45
AbdurRakib wrote: If mn ≠ 0 and 25 percent of n equals 37(1/2) percent of m, what is the value of 12n/m? A) 18 B) \(\frac{32}{3}\) C) 8 D) 3 E) \(\frac{9}{8}\) OG 2017 New Question  25 % of n = 37 (1/2) % of m , this means n>m n/m > 1 ; 12 (n/m) > 12 there is only 1 option greater than 12. i.e 18 Answer = 18




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Re: If mn ≠ 0 and 25 percent of n equals 37(1/2) percent of m, what is the
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15 Jun 2016, 06:59
Given : 25 percent of n equals 37(1/2) percent of m => (25/100)*n = (75/200)*m => 2n = 3m. 12n/m = 6*2n/m = 6*3m/m = 18. Hence A.



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Re: If mn ≠ 0 and 25 percent of n equals 37(1/2) percent of m, what is the
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21 Jun 2016, 10:39
I'm totally stuck with arithmetic in this question. I will be very grateful for explanation why exactly I get another result. Can't see it on my own. I start with (1/4)*n=(37/100)*(1/2)*m and get (1/4)*n=(37/200)*m. Then I continue with 200n=37*4*m and divide both sides by 2 and get 100n=75n. This equation I divide by 100, resulting in n=(3/4)m. Here I substitude for m and get that 12n=12*(3/4)m=9m, and it comes that 9m/m=9. Where am I lost?



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Re: If mn ≠ 0 and 25 percent of n equals 37(1/2) percent of m, what is the
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21 Jun 2016, 11:44
MannyOliveira wrote: I'm totally stuck with arithmetic in this question. I will be very grateful for explanation why exactly I get another result. Can't see it on my own. I start with (1/4)*n=(37/100)*(1/2)*m and get (1/4)*n=(37/200)*m. Then I continue with 200n=37*4*m and divide both sides by 2 and get 100n=75n. This equation I divide by 100, resulting in n=(3/4)m. Here I substitude for m and get that 12n=12*(3/4)m=9m, and it comes that 9m/m=9. Where am I lost? 37(1/2) % of m = 37.5 % of m = 75/2 * of m You have incorrectly assumed it to be (37/100)*(1/2)*m = 18.5% of m. Hope this helps.



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Re: If mn ≠ 0 and 25 percent of n equals 37(1/2) percent of m, what is the
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Updated on: 30 Nov 2016, 12:54
AbdurRakib wrote: If mn ≠ 0 and 25 percent of n equals 37(1/2) percent of m, what is the value of 12n/m?
A) 18 B) \(\frac{32}{3}\) C) 8 D) 3 E) \(\frac{9}{8}\)
Useful conversions: 25% = 1/4 37.5% = 3/825 percent of n equals 37(1/2) percent of mIn other words, 1/4 of n equals 3/8 of m We get: n/4 = 3m/8 What is the value of 12n/m?Take n/4 = 3m/8 Crossmultiply to get: (8)(n) = (3m)(4) Simplify: 8n = 12m Divide both sides by m to get: 8n/m = 12 [ALMOST THERE!!!]Multiply both sides by 1.5 to get: 12n/m = 18 Answer: Cheers, Brent
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Originally posted by GMATPrepNow on 10 Aug 2016, 10:59.
Last edited by GMATPrepNow on 30 Nov 2016, 12:54, edited 1 time in total.



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Re: If mn ≠ 0 and 25 percent of n equals 37(1/2) percent of m, what is the
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Re: If mn ≠ 0 and 25 percent of n equals 37(1/2) percent of m, what is the
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17 Sep 2017, 22:35
25n/100 = 37.5m/100 25n = 37.5m 25n/m = 37.5 12.5n / m = 18.45 12n/m = 18 (no need to calculate all other option not at all close to 18)
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Re: If mn ≠ 0 and 25 percent of n equals 37(1/2) percent of m, what is the
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02 Oct 2017, 08:01
1/4(N)=3/8(M) N=12/8(M) N/M=12/8 12N/M = 18



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If mn ≠ 0 and 25 percent of n equals 37(1/2) percent of m, what is the
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01 Mar 2018, 05:10
FacelessMan wrote: Given : 25 percent of n equals 37(1/2) percent of m => (25/100)*n =(75/200)*m => 2n = 3m. 12n/m = 6*2n/m = 6*3m/m = 18. Hence A. hello FacelessMan with brains can you please explain why are you dividing 75 by 200 and not by 100 like you did here (25/100) thanks!



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Re: If mn ≠ 0 and 25 percent of n equals 37(1/2) percent of m, what is the
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01 Mar 2018, 05:16
GMATPrepNow wrote: AbdurRakib wrote: If mn ≠ 0 and 25 percent of n equals 37(1/2) percent of m, what is the value of 12n/m?
A) 18 B) \(\frac{32}{3}\) C) 8 D) 3 E) \(\frac{9}{8}\)
Useful conversions: 25% = 1/4 37.5% = 3/825 percent of n equals 37(1/2) percent of mIn other words, 1/4 of n equals 3/8 of m We get: n/4 = 3m/8 What is the value of 12n/m?Take n/4 = 3m/8 Crossmultiply to get: (8)(n) = (3m)(4) Simplify: 8n = 12m Divide both sides by m to get: 8n/m = 12 [ALMOST THERE!!!]Multiply both sides by 1.5 to get: 12n/m = 18 Answer: Cheers, Brent Useful conversions: 25% = 1/4 37.5% = 3/8Hello GMATPrepNow, what if dont know that 37.5% is 3/8. How can i convert 37.5% into 3/8 manually with pen and paper ? please explain



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Re: If mn ≠ 0 and 25 percent of n equals 37(1/2) percent of m, what is the
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01 Mar 2018, 07:08
dave13 wrote: Useful conversions: 25% = 1/4 37.5% = 3/8Hello GMATPrepNow, what if dont know that 37.5% is 3/8. How can i convert 37.5% into 3/8 manually with pen and paper ? please explain We can first write 37.5 as a fraction over 100, and then simplify that fraction. So, 37.5% = 37.5/100 = 375/1000 = 75/200 = 15/40 = 3/8 Cheers, Brent
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If mn ≠ 0 and 25 percent of n equals 37(1/2) percent of m, what is the
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18 Mar 2018, 04:45
dave13Quote: what if dont know that 37.5% is 3/8. How can i convert 37.5% into 3/8 manually with pen and paper ? I hope you know 1/2 = 50% So 1/8 will 50/4 or 12.5% Multiply numerator by 3 to get 37.5%. Have attached chart besides your bed too Hope this helps.
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Re: If mn ≠ 0 and 25 percent of n equals 37(1/2) percent of m, what is the
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19 Mar 2018, 11:57
If mn ≠ 0 and 25 percent of n equals 37.5 percent of m, what is the value of 12/m? We can solve it by direct calculation or through plugging numbers Solution 1: 25 % of n is equal to 37.5% of m so 100% of n = 150% of m N = 1.5M 12N = 18M Ans: ASolution 2: Plugging in a number that is easy to calculate both 25% and 37.5%. Let's take 60 as N. N = 60 25% Of N = 15 Now 15 is 37.5% of M. So 100 % of M is = 40. [37.5% is 15 , then 75% is 30 , which gives us 100% = 40] Now we got N=60 , M = 40 Coming to our problem = 12n/m = \(\frac{60*12}{40}\) = 18 Ans: A
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