How many basic units of currency X are equivalent to 250 basi

Question

How many basic units of currency X are equivalent to 250 basic units of currency Y ?

(1) 100 basic units of currency X are equivalent to 625 basic units of currency Y.

(2) 2,000 basic units of currency X are equivalent to 12,500 basic units of currency Y.

(DS03422)

EgmatQuantExpert · Answer

Solution

To find:  
 • The number of basic units of currency X, which are equivalent to 250 basic units of currency Y

Analysing Statement 1  
 • As per the information given in statement 1, 100 basic units of currency X are equivalent to 625 basic units of currency Y
 o Therefore, 250 basic units of currency Y =  \frac{100}{625} * 250

Hence, statement 1 is sufficient to answer

Analysing Statement 2  
 • As per the information given in statement 1, 2000 basic units of currency X are equivalent to 12500 basic units of currency Y
 o Therefore, 250 basic units of currency Y =  \frac{2000}{12500} * 250

Hence, statement 2 is sufficient to answer

Hence, the correct answer is option D.

Answer: D

Aadhitthyaa · Answer

Answer should be E right ? We can't find the relation if its a straight line or parabola or anything else? Even with both the statements included. Please help.

Gemelo90 · Answer

It is interesting to notice that both answer choices basically say the same, because statement two is a multiple of statement one (factor 20).

I am still choosing D, because a currency conversion is always a straight line. e.g. 1 EUR = 1,15 USD. Therefore, 2 EUR = 2,30 USD. The same reasoning applies to this question.

amanvermagmat · Answer

Hello

I think in this case relation should be fairly simple and straight (line). If 'a' units of currency X are equal to 'b' units of currency Y, then 
1 unit of currency X = b/a units of currency Y and 
1 unit of currency Y = a/b units of currency X

thealchemist89 · Answer

Can anyone help me understand why my-setup is wrong?

Notice statement 1 and 2 are the same.
Correct answer is choice D. I chose answer choice E because my algebra came down to 3V2E. 3 variables but only 2 equations, therefor it is not sufficient, or I thought.

My setup was (#)(X) units = (250)(Y)? Trying to solve for #.

1.) 100X=625Y " 100  units  of  currency  X  are  equivalent  to  625  unit of  Y " (doesn't "of" mean multiply?)
2.) 2000X=12500Y

CrackverbalGMAT · Answer

Hello theAlchemist89,

In trying to solve for #, you could have also taken the ratio approach. That would have helped you understand that this is just not another question on equations. Do not take the variable approach all the time, GMAT Math is about using smart numbers.

If you dig a little deeper, you will see that the individual statements are sufficient because they give us the ratio of X and Y. Let's see.

Statement I alone says that 100 basic units of X are equivalent to 625 basic units of Y. This means 100 * X = 625 * Y, which can be reorganised and written as X/Y = 4/25. This means that every 4 basic units of X is equivalent to 25 basic units of Y. This can help us find out the X equivalent of 250 units of Y.

Statement II alone says that 2000 basic units of X are equivalent to 12500 basic units of Y. This means 2000 * X = 12500 * Y, which can be reorganised and written as X/Y = 4/25. This again means that every 4 basic units of X is equivalent to 25 basic units of Y. This can help us find out the X equivalent of 250 units of Y.

That's how the individual statements are sufficient when taken alone. That's why the correct answer is D.

Also, 'Of' can mean multiplication but it's usually used with fractions, decimals, percentages etc., to signify 'so many times of'.

Hope that helps!

thealchemist89 · Answer

Thank you so much for the elaborate explanation and mentioning to not always approach it as algebra, which I usually default to. ( I know this sentence is not in parallel form =)

Irising · Answer

Please double-check your explanation. Did you mean to write 100 * X = 625 * Y? That will not give you X/Y=4/25. Similarly, for statement 2, it can't be 200 * X = 12500 * Y.

GMATinsight · Answer

Answer: Option D

Video solution by  GMATinsight

https://www.youtube.com/watch?v=MtkQIeE6xT0

ScottTargetTestPrep · Answer

Solution:

Question Stem Analysis:

We need to determine the number of basic units of currency X that are equivalent to 250 basic units of currency Y. We can let this number be x.

Statement One Alone:

With the information in statement one, we can create the proportion:

x/250 = 100/625

We see that we can determine a value of x, so statement one alone is sufficient.

Statement Two Alone:
 
With the information in statement two, we can create the proportion:

x/250 = 2,000/12,500

We see that we can determine a value of x, so statement two alone is sufficient.

Answer: D

avigutman · Answer

Video solution from Quant Reasoning: Subscribe for more: https://www.youtube.com/QuantReasoning? ... irmation=1 https://www.youtube.com/watch?v=C7hQ5Jlwhoc

vishnugmatgupta · Answer

If any option gave a reduced fraction, it would have been wrong since the question asks for number of units. And units have to be a non -ve integer. Am I right?

bumpbot · Answer

Automated notice from GMAT Club BumpBot: 

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

 This post was generated automatically.

How many basic units of currency X are equivalent to 250 basi

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Data Sufficiency (DS) Questions

How many basic units of currency X are equivalent to 250 basi

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards