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If the numerator of a fraction is increased by 200% and the denominator of the fraction is increased by 150%, the resultant fraction is 9/35. What is the original fraction ?
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- 3/10
- 2/15
- 3/16
- 2/7
- None of the above
Correct Option: E
Let the original fraction be p/q.
Numerator is increased by 200%.
∴ Numerator = p + 200% of p
= p + 200p/100
= p + 2p
= 3p
and denominator of the fraction is increased by 150%.
Denominator = q + 150q/100
= (100q + 150q)/100
= 250q/100
= 5q/2
Then, according to the question,
3p/5q/2 = 9/35
3p x 2/5q = 9/35
6p/5q = 9/35
∴ p/q = 9 x 5/35 x 6
p/q = 3/14
