If a equals 20% of c and b equals 40% of c, then which one of the following is 150% of b?
- A50% of c
- B250% of a
- C65% of c
- D300% of a
Solution & Step-by-step Explanation
Given the relationships:
a=0.20c
b=0.40c
We need to find 150% of b:
Target=1.50×b=1.50×(0.40c)=0.60c
So the target value is 60% of c. Let us analyze the options to find which equals 0.60c:
Option A: 50% of c=0.50c (Incorrect)
Option B: 250% of a=2.50×0.20c=0.50c (Incorrect)
Option C: 65% of c=0.65c (Incorrect)
Option D: 300% of a=3.00×0.20c=0.60c (Correct)
Thus, 300% of a matches our value.
a=0.20c
b=0.40c
We need to find 150% of b:
Target=1.50×b=1.50×(0.40c)=0.60c
So the target value is 60% of c. Let us analyze the options to find which equals 0.60c:
Option A: 50% of c=0.50c (Incorrect)
Option B: 250% of a=2.50×0.20c=0.50c (Incorrect)
Option C: 65% of c=0.65c (Incorrect)
Option D: 300% of a=3.00×0.20c=0.60c (Correct)
Thus, 300% of a matches our value.