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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 |
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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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