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Dhiv

· started a discussion

· 1 Months ago

Question says add 400% to numerator and add 500% to denominator. But the solution shows multiplication of numbers. Can you explain please

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:

Knowledge Expert

· commented

· 1 Months ago

yes, same has been done....after few steps you will get the same expression......

see:

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

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

or, 5x/6y = 20/27

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

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