Paper 1 · Mathematical Reasoning and Aptitude
UGC NET June 2023 (22.06.2023) Shift-I
If the numerator of a fraction is increased by 25 percent and the denominator is decreased by 15 percent, the fraction becomes 15 by 17. Find the value of the original fraction.
A3/5 ✓ Correct
B4/5
C7/5
D6/5
Correct answer: (A) 3/5 — The original fraction is 3 by 5, so the answer is 3 by 5.
Explanation
★The original fraction is 3 by 5, so the answer is 3 by 5.
★Let the fraction be x over y.
★Increasing the numerator by 25 percent makes it 5x over 4.
★Decreasing the denominator by 15 percent makes it 17y over 20.
★So the new fraction is 25x over 17y, and this equals 15 over 17.
★This gives 5x equal to 3y, so x over y is 3 over 5.
★So the original fraction is 3 by 5.
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