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If the numerator of a fraction is increased by 300% and the denominator is increased by 500%, the resultant fraction is 5/12​. What was the original fraction ?
  • a)
    25/36
  • b)
    5/11
  • c)
    11/5
  • d)
    12/5
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
If the numerator of a fraction is increased by 300% and the denominato...
 
Let the original fraction be x/y. New fraction is 300% of numerator and 500% of denominator ie 3x/5y
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Most Upvoted Answer
If the numerator of a fraction is increased by 300% and the denominato...

Analysis:
Given that the numerator of a fraction is increased by 300% and the denominator is increased by 500%, resulting in the fraction 5/12.

Let the original fraction be x/y.
After increasing the numerator by 300%, the new numerator becomes 4x.
After increasing the denominator by 500%, the new denominator becomes 6y.

Equation:
4x / 6y = 5 / 12

Simplify the equation:
4x * 12 = 6y * 5
48x = 30y
16x = 10y
2x = y

Substitute the value of y in terms of x in the original fraction:
x / 2x = 1 / 2

Therefore, the original fraction is 1/2, which is equivalent to 25/36 when expressed in the form of numerator and denominator.

Therefore, the correct answer is option 'A' 25/36.
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If the numerator of a fraction is increased by 300% and the denominator is increased by 500%, the resultant fraction is 5/12. What was the original fraction ?a)25/36b)5/11c)11/5d)12/5Correct answer is option 'A'. Can you explain this answer?
Question Description
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