Latest CTS Aptitude Question SOLUTION: If the numerator of a fraction is increased by 200% and the denominator is increased by 250% the resultant fraction is 3/14. What is the original fraction? a) 1/2 b) 3/4 c) 1/4 d)

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If the numerator of a fraction is increased by 200% and the denominator is increased by 250% the resultant fraction is 3/14. What is the original fraction?

a) 1/2 b) 3/4 c) 1/4 d) 1/8

Asked In CTS (12 years ago)

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Read Solution (4) :

Dante  (12 years ago)

Ans.1/4
1+200%of 1=3
4+250%of 4=14

Is this solution Helpfull? Yes (3) | No (3)  

VEERARAGAVAN  (10 years ago)

Let the number be x/y.
200% of x is 2x and 250% of y is 5/2y
Hence we have 2x + x =3x and y + 5/2y = 7/2y
Hence resultant fraction should be 6x/7y = 3/14=6/28
Hence the original fraction will be 1/4.

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hemanth  (8 years ago)

n(300)/d(350)=3/14
n:d=1:4
ans=1/4

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Faizan Ahmed  (6 years ago)

Let P and Q be the original numerator and denominator respectively.

P when increased by 200% becomes, P + P(200/100) = P (100 + 200)/100 = 300P/100

Q when increased by 250% becomes, Q + Q(250/100) = Q (100 + 250)/100 = 350Q/100

According to the question, (300P/100) / (350Q/100) = 3/14

Or 300P/350Q = 3/14

Or P/Q = (3/14) x (350/300) = 25/100 = 1/4

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