Question : Two numbers are, respectively, 10% and 25% more than the third number. The ratio of the two numbers is:
Option 1: 22 : 25
Option 2: 19 : 25
Option 3: 23 : 25
Option 4: 18 : 25
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Correct Answer: 22 : 25
Solution :
Given: Two numbers are, respectively, 10% and 25% more than the third number.
Let the third number be $x$.
So, the first number = $x+x×\frac{10}{100}$ = $\frac{11x}{10}$
and the second number = $x+x×\frac{25}{100}$ = $\frac{5x}{4}$
Now, the required ratio = $\frac{11x}{10}:\frac{5x}{4}$ = 22 : 25
Hence, the correct answer is 22 : 25.
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