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Mukul

· started a discussion

· 1 Months ago

numerator is increased by 400 and denominator by 500 so the answer is none of these

Question:
If the numerator of a fraction is increased by 400% and the denominator is increased by 500%, the resultant fraction is \(\cfrac{20}{27}\). What is the original fraction?
Options:
A) \(\cfrac{8}{9}\)
B) \(\cfrac{11}{12}\)
C) \(\cfrac{3}{4}\)
D) \(\cfrac{3}{8}\)
Solution:

RAHUL SAMRAT

· commented

· 1 Months ago

8/9 is correct increase 8 by 400% it is 40 and increase 9 by 500% now it is 54 so 40/54 is equal to 20/27

Knowledge Expert

· commented

· 1 Months ago

Given answer is correct....

Knowledge Expert

· commented

· 1 Months ago

its not wrong solution......its the only correct solution....

Take a look on the solution:

Let us consider the fraction is x/y

Short tricks(Which has been given in the solution):

(x×500)/(y×600)=20/27

x/y= (20/27)×(6/5)=8/9

Long Process:

(x+400% of x) / (y+500% of y) = 20/27

(x+4x )/ (y+5y) = 20/27

5x/6y = 20/27

x/y = 20/27 * 6/5 = 8/9

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