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Abhinav Pratap Sood
Asked: 2022-11-11T22:51:27+05:30 In:

If the new numerator of a fraction is increased by 200% and the denominator of the fraction is increased by 150%, the resultant fraction is \(\frac{9}{35}\) What is the original fraction ?
1. 3/14
2. 2/15
3. 3/16
4. 3/10

If the new numerator of a fraction is increased by 200% and the denominator of the fraction is increased by 150%, the resultant fraction is \(\frac{9}{35}\) What is the original fraction ?
1. 3/14
2. 2/15
3. 3/16
4. 3/10
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1 Answer

  1. Correct Answer – Option 1 : 3/14

    Given:

    Numerator increased by 200%

    Denominator increased by 150%

    Resultant fraction = 9/35

    Calculation:

    Let us take the numerator be x

    Let us take the denominator be y

    According to the question

    (x + 200% of x)/(y +150% of y) = 9/35

    ⇒ (x+2x)/(y+1.5y) = 9/35

    ⇒ 35(3x) = (2.5y)9 

    ⇒ 105x = 22.5y

    ⇒ x/y = 3/14

    ∴ The original fraction = 3/14

     

     

     

     

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