1.

If the ratio between two numbers are 3 : 4. If the first number and second number are increased by 40% and 50% respectively. Then the new ratio of the numbers are:1. 9 : 102. 11 : 103. 3 : 44. 7 : 10

Answer» Correct Answer - Option 4 : 7 : 10

Given:

The ratio between two numbers = 3 : 4

Formula used:

If a number is increased by y%, then the new number will be [(100 + y)/100] × a number

Calculation:

Let the first number be 3x and the second number be 4x

According to the question, the first number increased by 40%

Now new first number = [(100 + 40)/100] × 3x

⇒ New first number = (140/100) × 3x

⇒ New first number = 1.4 × 3x

⇒ New first number = 4.2x

And the second number is increased by 50%

Now new second number = [(100 + 50)/100] × 4x

⇒ New second number = (150/100) × 4x

⇒ New second number = 1.5 × 4x

⇒ New second number = 6x

The ratio of the first number and the second number = 4.2x/6x

⇒ The ratio of the first number and the second number = 42/60

⇒ The ratio of the first number and the second number = 7/10

∴ The ratio of the first number and the second number is 7/10.



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