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In any three numbers, the percentage of first two numbers more than the third number is respectively 30% and 40%. Find the ratio of first two numbers.


1. 14 : 13
2. 13 : 14
3. 45 : 47
4. 47 : 45
5. 7 : 8

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Correct Answer - Option 2 : 13 : 14

Given:

Percentage of first number more than the third number is 30%

Percentage of Second number more than the third number is 40%

Calculation:

Let the third number be x

The first number is 130% of third number

⇒ (130/100) × x

⇒ 13x/100 = 13x/10

And the Second number is 140% of third number

⇒ (140/100) × x

⇒ 140x/100 = 14x/10

Ratio of first two numbers = (13x/10 : 14 x/10)

⇒ 13x : 14 x

⇒ 13 : 14

∴ The ratio of first two numbers is 13 : 14

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