GMAT Fractions: By what fraction did the price of the stock…
Question
The price of a certain stock increased by 0.25 of 1 percent on a certain day. By what fraction did the price of the stock increase that day?
- 1/(2,500)
- 1/400
- 1/40
- 1/25
- 1/4
Topics: fractions, percentages, conversions
Solution
Step 1
We first multiply 0.25 by 1% to find the percentage increase.
0.25 × 1% = 0.25%
Step 2
We next express this percentage as a fraction of 1 by dividing by 100.
0.25% = (0.25)/100
Step 3
We then write 0.25 as a fraction and combine it with the division by 100.
0.25 = 25/100 (0.25)/100 = (25/100)/100 = 25/100 × 1/100
Step 4
We simplify the resulting fraction by canceling the common factor.
= 2525 × 4 × 100 = 1/400
Answer
1/400 (B)
