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.
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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.
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.
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Solution:BTGmoderatorDC wrote: ↑Thu Jun 28, 2018 3:38 amHow 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.
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
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