If the numerator of fraction is increased by 25% and the denominator increased by 10% it becomes 2/5 find the original fraction
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Answer:
here your answer............
Step-by-step explanation:
- let numerator be p
- and denominator be q
then the fraction becomes p/q
According to question,
If the numerator of fraction is increased
by 25% and the denominator
increased by 10% it becomes 2/5
thus,
(p + p × 25/100)/(q + q × 10/100) = 2/5
[100p + 25p]/100/[100q + 10q]/100 = 2/5
[125p/100]/[110q/100] = 2/5
125p/110q = 2/5
p/q = 2/5 × 110/125
p/q = 220/625
p/q = 44/125
Therefore the original fraction is
44/125.
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