If 1.5x = 0.04y then the value of (y-x) / (y+x) is
2025
If 1.5x = 0.04y then the value of (y-x) / (y+x) is
- A.
730/77
- B.
73/77
- C.
7.3/77
- D.
None
Attempted by 62 students.
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Correct answer: B
Given: 1.5x = 0.04y
Compute x/y by dividing both sides by y and by 1.5: x/y = 0.04 / 1.5. Convert to fractions: 0.04 = 1/25 and 1.5 = 3/2, so x/y = (1/25) / (3/2) = (1/25) * (2/3) = 2/75.
Write (y - x)/(y + x) in terms of x/y: (y - x)/(y + x) = (1 - x/y)/(1 + x/y). Substitute x/y = 2/75 to get (1 - 2/75)/(1 + 2/75).
Compute the fraction: (1 - 2/75) = 73/75 and (1 + 2/75) = 77/75, so the ratio is (73/75)/(77/75) = 73/77.
Final answer: 73/77