Question
If 40% of a number is equal to two-third of another number, what is the ratio of first number to the second number?
Answer: Option C
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Let 40% of A = \(\frac{2}{3}B\)
Then,\(\frac{40A}{100}= \frac{2B}{3} \)
\(\frac{2A}{5}=\frac{2B}{3}\)
\(\frac{A}{B} = \left(\frac{2}{3}\times\frac{5}{2}\right)= \frac{5}{3} \)
Therefore A : B = 5 : 3.
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