GMAT Official Guide 2019 How many basic units of currency

[B BTGmoderatorDC]

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.

[D deloitte247]

Question : 250 basic units of X that is equivalent to 250 basic units of currency Y.
Statement 1: 100 basic units of currency X are equivalent to 625 basic units of currency Y.
Therefore, if 100 units of x = 625 units of y
x units of x = 250 units of y
$$x\ =\ \frac{100}{625}\ \cdot\ 250\ =\ 40$$
Statement 1 is sufficient

Statement 2: 2000 basic units of x are equivalent to 12,500 basic units of currency y.
Therefore, if 2000 units of x = 12,500 unit of y
x unit of x = 250 units of y
$$x\ =\ \frac{2000}{12500}\ \cdot\ 250\ =\ 40$$
Statement 2 is also sufficient.
Final answer is Option D, because each statement alone is sufficient.

[Scott@TargetTestPrep]

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.

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