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The ratio of the quantities is 5:7 if the consequent of its inverse ratio is 5 the antecedent is?
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The ratio of the quantities is 5:7 if the consequent of its inverse ra...
Understanding the problem

The problem states that the ratio of the quantities is 5:7. Let's assume that the quantities are x and y. Given that the consequent of its inverse ratio is 5. This means that if we take the inverse ratio of 5:7, we get 7:5. The consequent of this inverse ratio is 5. We need to find the antecedent of this inverse ratio.


Solution

Let's assume that the antecedent of the inverse ratio is a.



  • Given that the ratio of the quantities is 5:7

  • This means that x:y = 5:7

  • Therefore, x = 5y/7

  • Now, we know that the inverse ratio of 5:7 is 7:5

  • This means that y:x = 7:5

  • Substituting the value of x from step 3, we get y:5y/7 = 7:5

  • Cross-multiplying, we get 5y = 49y/7

  • Simplifying, we get y = 35/2

  • Substituting the value of y in step 3, we get x = 25/2

  • Therefore, the antecedent of the inverse ratio is 7/5 * 25/2 = 35



Conclusion

The antecedent of the inverse ratio is 35.
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The ratio of the quantities is 5:7 if the consequent of its inverse ratio is 5 the antecedent is?
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The ratio of the quantities is 5:7 if the consequent of its inverse ratio is 5 the antecedent is? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The ratio of the quantities is 5:7 if the consequent of its inverse ratio is 5 the antecedent is? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratio of the quantities is 5:7 if the consequent of its inverse ratio is 5 the antecedent is?.
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