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A fraction in reduced form is such that when it is squared and then its numerator is reduced by $$33\frac{1}{3}$$ % and denominator is reduced to 20%, its result is twice the original fraction. The sum of numerator and denominator is:

A. 8

B. 13

C. 17

D. 15

E. None of these

Answer: Option A

Solution(By Examveda Team)

Let the fraction be $$\frac{{\text{x}}}{{\text{y}}}$$
When fraction is squared its numerator is reduced by $$33\frac{1}{3}$$ and denominator is reduced by 20%
$$\eqalign{ & {\text{According}}\,{\text{to}}\,{\text{question,}} \cr & {\left( {\frac{x}{y}} \right)^2} \times \frac{{33\left( {\frac{1}{3}} \right)\% }}{{20\% }} = 2\left( {\frac{x}{y}} \right) \cr & {\text{Or}},\,{\left( {\frac{x}{y}} \right)^2} \times \frac{{\left( {\frac{2}{3}} \right)}}{{\left( {\frac{1}{5}} \right)}} = 2\left( {\frac{x}{y}} \right) \cr & {\text{Or}},\,\frac{x}{y} = \frac{3}{5} \cr & {\text{Sum of numerator and denominator is}} \cr & \left( {x + y} \right) = 3 + 5 \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 8 \cr} $$

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Comments ( 8 )

  1. Kritika Dhall
    Kritika Dhall :
    1 year ago

    pls give detail solution . not able to understand

  2. Ashutosh PC
    Ashutosh PC :
    2 years ago

    if we read it properly it says reduced by 33 1/3 percent(i.e,1-1/3= 2/3) and 20 percent (1-1/5=4/5).

  3. Puja Agrawal
    Puja Agrawal :
    2 years ago

    It should be 6/5 and sum is 11

  4. Puja Agrawal
    Puja Agrawal :
    2 years ago

    33 (1/3)=1/3 not 2/3

  5. Mominul Islam
    Mominul Islam :
    2 years ago

    2/3 how please details

  6. Raj
    Raj :
    3 years ago

    x/y=6/5
    Answer 6+5=11

  7. Harsha Vardhan
    Harsha Vardhan :
    4 years ago

    how 33(1/3)% is equal to 2/3

  8. Vishal Patel
    Vishal Patel :
    6 years ago

    How it could be 1/5 it should be 4/5

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