GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 21 Oct 2018, 04:08

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# If 125% of j is equal to 25% of k, 150% of k is equal to 50%

Author Message
TAGS:

### Hide Tags

Senior Manager
Joined: 19 Nov 2007
Posts: 405
If 125% of j is equal to 25% of k, 150% of k is equal to 50%  [#permalink]

### Show Tags

Updated on: 06 Jun 2014, 05:39
3
00:00

Difficulty:

75% (hard)

Question Stats:

67% (03:03) correct 33% (03:14) wrong based on 238 sessions

### HideShow timer Statistics

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

_________________

-Underline your question. It takes only a few seconds!
-Search before you post.

Originally posted by vscid on 07 Feb 2010, 21:00.
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.
Intern
Status: Getting ready for the internship summer
Joined: 07 Jun 2009
Posts: 46
Location: Rochester, NY
Schools: Simon
WE 1: JPM - Treasury

### Show Tags

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

20% of m is equal to 200% of J: $$.2M = 70J$$

$$\frac{70}{.2} = 350$$
Intern
Joined: 19 Jul 2009
Posts: 43
Location: baltimore, md
Schools: kellogg, booth, stern, ann arbor
Re: If 125% of j is equal to 25% of k, 150% of k is equal to 50% of l, and  [#permalink]

### Show Tags

22 Jul 2010, 15:49
1
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
_________________

Paaaaayyy Meeeee!!!!!

Manager
Joined: 10 Mar 2014
Posts: 199

### Show Tags

06 Jun 2014, 04:24
I did it in a following way

1.25J = .25k

5J= K --> J= k/5-----1

3/3k=1/2l = 3k = l ---> k = l/3---2

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%
Math Expert
Joined: 02 Sep 2009
Posts: 50007
Re: If 125% of j is equal to 25% of k, 150% of k is equal to 50%  [#permalink]

### Show Tags

06 Jun 2014, 05:40
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

Similar questions to practice: if-25-percent-of-p-is-equal-to-10-percent-of-q-and-pq-0-th-168485.html
_________________
SVP
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1829
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: If 125% of j is equal to 25% of k, 150% of k is equal to 50%  [#permalink]

### Show Tags

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

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
_________________

Kindly press "+1 Kudos" to appreciate

Intern
Joined: 11 Jul 2014
Posts: 6
Re: If 125% of j is equal to 25% of k, 150% of k is equal to 50%  [#permalink]

### Show Tags

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

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
Manager
Status: Post MBA, working in the area of Development Finance
Joined: 09 Oct 2006
Posts: 160
Location: Africa
Re: If 125% of j is equal to 25% of k, 150% of k is equal to 50%  [#permalink]

### Show Tags

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

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
SVP
Joined: 06 Nov 2014
Posts: 1883
Re: If 125% of j is equal to 25% of k, 150% of k is equal to 50%  [#permalink]

### Show Tags

30 Sep 2015, 20:58
1
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
Director
Joined: 23 Jan 2013
Posts: 575
Schools: Cambridge'16
Re: If 125% of j is equal to 25% of k, 150% of k is equal to 50%  [#permalink]

### Show Tags

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%

)))
Senior Manager
Status: Countdown Begins...
Joined: 03 Jul 2016
Posts: 296
Location: India
Concentration: Technology, Strategy
Schools: IIMB
GMAT 1: 580 Q48 V22
GPA: 3.7
WE: Information Technology (Consulting)
Re: If 125% of j is equal to 25% of k, 150% of k is equal to 50%  [#permalink]

### Show Tags

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
Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 3896
Location: United States (CA)
Re: If 125% of j is equal to 25% of k, 150% of k is equal to 50%  [#permalink]

### Show Tags

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%

_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Re: If 125% of j is equal to 25% of k, 150% of k is equal to 50% &nbs [#permalink] 05 Nov 2017, 08:29
Display posts from previous: Sort by