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