Question
Download Solution PDFIf the numerator of a certain fraction is increased by 80%, while the denominator is increased by 200%, then the ratio of the numerator and denominator becomes 21:50, what will be the actual fraction?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFLet numerator of the fraction is x and denominator is y, then fraction will be x/y
Numerator increased 80%, so new numerator would be ,
⇒ [x + (80 × x)/100] = 9x/5 .........(i)
New denominator will be,
⇒ [y + (200 × y)/100] = 3y .........(ii)
Now, according to question, we have,
⇒ (9/5x)/3y = 21/50
⇒ 9x/(3y × 5) = 21/50
⇒ 3x/5y = 21/50
⇒ x/y = 7/10
So, original fraction is 7/10.
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