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If 125% of j is equal to 25% of k, 150% of k is equal to 50% [#permalink]
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07 Feb 2010, 21:00
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If 125% of j is equal to 25% of k, 150% of k is equal to 50% of l, and 175% of l is equal to 75% of m, then 20% of m is equal to what percent of 200% of j ? A. 0.35 B. 3.5 C. 35 D. 350 E. 3500
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Last edited by Bunuel on 06 Jun 2014, 05:39, edited 2 times in total.
Renamed the topic, edited the question and added the OA.



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Re: percents!! [#permalink]
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08 Feb 2010, 19:26
Here's how I did it:
First, find the relation of J to M:
5J = K 3K = L 7L = 3M
15J = L 105J = 3M 35J = M
Now, answer the question:
20% of m is equal to 200% of J: \(.2M = 70J\)
\(\frac{70}{.2} = 350\)



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Re: If 125% of j is equal to 25% of k, 150% of k is equal to 50% of l, and [#permalink]
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22 Jul 2010, 15:49
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from question stem, we have: 125j = 25k 150k = 50L 175L = 75m then... 20m = (x/100)(200j) which is equal to 10m = xj we can solve the problem by working backwards. L = 75m/175 => L = 3m/7 k = 50*(3m/7)/150 => k = m/7 J = 25*(m/7)/125 => J = m/35 putting values into percentages, we have J = m/.35 now we can use the value of J in our last equation. 10m = x(m/.35) or 10m = xm/.35 where x = 35
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Re: percents!! [#permalink]
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06 Jun 2014, 04:24
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I did it in a following way
1.25J = .25k
5J= K > J= k/51
3/3k=1/2l = 3k = l > k = l/32
7l = 3m>i=7/3m
now we need to calculate 200 % of J to 20 % of M
put value of k in st1
j= l/15, m= 7l/3
2l/15 = 7l/15
so its clearly 350%



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Re: If 125% of j is equal to 25% of k, 150% of k is equal to 50% [#permalink]
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06 Jun 2014, 05:40



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Re: If 125% of j is equal to 25% of k, 150% of k is equal to 50% [#permalink]
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11 Jul 2014, 02:37
LJ wrote: Here's how I did it:
First, find the relation of J to M:
5J = K 3K = L 7L = 3M
15J = L 105J = 3M 35J = M
Now, answer the question:
20% of m is equal to 200% of J: \(.2M = 70J\)
\(\frac{70}{.2} = 350\) I reached upto the highlighted part m = 35j 20% of m = 7j Bunuel: Kindly suggest how to move f/ward... ? Thanks
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Re: If 125% of j is equal to 25% of k, 150% of k is equal to 50% [#permalink]
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11 Jul 2014, 05:02
PareshGmat wrote: LJ wrote: Here's how I did it:
First, find the relation of J to M:
5J = K 3K = L 7L = 3M
15J = L 105J = 3M 35J = M
Now, answer the question:
20% of m is equal to 200% of J: \(.2M = 70J\)
\(\frac{70}{.2} = 350\) I reached upto the highlighted part m = 35j 20% of m = 7j Bunuel: Kindly suggest how to move f/ward... ? Thanks Hi Paresh, Now, just look at the final statement: 20% of m = 7j = x% of 2j (200% of j is 2j) So, we have 7j = (x/100)*2j Solving this, you get x = 350. Does it help? AEL



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Re: If 125% of j is equal to 25% of k, 150% of k is equal to 50% [#permalink]
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12 Jul 2014, 04:04
Find the relationship between 20% of m, which is 7j and 200% of j which is 2j. As you can see, 7j (which is 20% of m) is 3.5 times of 2j, i.e. 3.5 times means 350% PareshGmat wrote: LJ wrote: Here's how I did it:
First, find the relation of J to M:
5J = K 3K = L 7L = 3M
15J = L 105J = 3M 35J = M
Now, answer the question:
20% of m is equal to 200% of J: \(.2M = 70J\)
\(\frac{70}{.2} = 350\) I reached upto the highlighted part m = 35j 20% of m = 7j Bunuel: Kindly suggest how to move f/ward... ? Thanks



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Re: If 125% of j is equal to 25% of k, 150% of k is equal to 50% [#permalink]
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30 Sep 2015, 20:58
First of all, let us write the information in form of equations and numbers
125 J = 5K or 5J = K (i) 150 K = 50L or 3K = L (ii) 175L = 75M or 7L = 3M (iii)
We need to find a relation between J and M
From (i) and (ii), 15J = L Multiplying this by 7, 105J = 7L = 3M Hence, 35J = M
Now, we are asked: 20% of m is equal to what percent of 200% of j
Assume J = 1, hence M = 35 20% of M = 7 and 200% of J =2 20% of M = 3.5 (200% of J) = (350/100)* (200% of J)
Hence 20% of M = 350% of 200% of J.
Option D



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Re: If 125% of j is equal to 25% of k, 150% of k is equal to 50% [#permalink]
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30 Sep 2015, 23:43
i got stuck after 35j=1m, but after some hours got that if we need % of m from j we should consider that
m/j=35/1, so (0.2*35/2*1)*100 =7/2*100 = 350%
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Re: If 125% of j is equal to 25% of k, 150% of k is equal to 50% [#permalink]
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01 Nov 2017, 21:34
Best way is to take numbers : J 100 K 500 L  1500 M 3500 [20% of M 700/ 200% of J  200] *100 = 350
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Re: If 125% of j is equal to 25% of k, 150% of k is equal to 50% [#permalink]
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05 Nov 2017, 08:29
vscid wrote: If 125% of j is equal to 25% of k, 150% of k is equal to 50% of l, and 175% of l is equal to 75% of m, then 20% of m is equal to what percent of 200% of j ?
A. 0.35 B. 3.5 C. 35 D. 350 E. 3500 We can create the following equations: 1.25j = 0.25k 1.5k = 0.5l 1.75l = 0.75m We need to get m and j in terms the same variable. Thus: 6(1.25j = 0.25k) 7.5j = 1.5k Since 1.5k = 0.5l, we have: 7.5j = 0.5l j = 0.5l/7.5 = 5l/75 = l/15 Thus, 200% of j = 2j = 2(l/15) = 2l/15 Looking at the third equation, we can get m in terms of l: 1.75l = 0.75m m = 1.75l/0.75 = 175l/75 = 7l/3 Thus, 20% of m = (1/5)m = (1/5)(7l/3) = 7l/15. We need to determine: 20% of m is equal to what percentage of 200% of j? (7l/15)/(2l/15) x 100 7/2 x 100 = 3.5 x 100 = 350% Answer: D
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Re: If 125% of j is equal to 25% of k, 150% of k is equal to 50%
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