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The respective ratio of two numbers is 16 : 21. If the first number is increased by 30% and the second number is decreased by 20%, what wil…

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The respective ratio of two numbers is 16 : 21. If the first number is increased by 30% and the second number is decreased by 20%, what will be the respective ratio of the first and the second number?
  • A32 : 21
  • B26 : 21
  • C25 : 21
  • D20 : 21
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Discussion 1

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CCommunity
Solution
Let the numerator and denominator be x and y.

(x/y) = (16/21)

Now, if the first number is increased by 30% and the second number is decreased by 20% then the ratio is $\frac{1.3*16}{0.8*21}$
Which equals $\frac{208}{168}$

Which equals $\frac{26}{21}$

Option B is the correct answer.