If the numerator of fraction is increased by and denominator
2020
If the numerator of a fraction is increased by 25% and the denominator is decreased by 20%, the new value is 5/4. What is the original value?
- A.
3/5
- B.
4/5
- C.
7/8
- D.
3/7
Attempted by 199 students.
Show answer & explanation
Correct answer: B
Key idea: Represent the original fraction as n/d and apply the percentage changes.
New numerator = 1.25n = 5n/4.
New denominator = 0.80d = 4d/5.
New fraction = (5n/4)/(4d/5) = 25n/(16d) = 5/4.
So n/d = (5/4) × (16/25) = 4/5.
Answer: Option 1, 4/5, is correct.