Select the correct answerThe ratio of total amount distributed in all male and female as salary is 6:5 while the ratio of salary of each male and female is 4:3. Find the ratio of number of male and female?Options9:57:57:99:10
Question
Select the correct answerThe ratio of total amount distributed in all male and female as salary is 6:5 while the ratio of salary of each male and female is 4:3. Find the ratio of number of male and female?Options9:57:57:99:10
Solution
Let's solve this step by step:
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The ratio of the total amount distributed to all males and females as salary is 6:5. This means that for every 6 parts of salary that males receive, females receive 5 parts.
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The ratio of the salary of each male to each female is 4:3. This means that for every 4 parts of salary that a male receives, a female receives 3 parts.
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We need to find the ratio of the number of males to females. Let's denote the number of males as M and the number of females as F.
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Since the total salary for males is divided equally among all males, and the total salary for females is divided equally among all females, we can write the following equations:
Total salary for males = Salary for each male * Number of males = 6 parts = 4M Total salary for females = Salary for each female * Number of females = 5 parts = 3F
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We can solve these equations for M and F:
M = 6 parts / 4 = 1.5 parts F = 5 parts / 3 = 1.67 parts
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Therefore, the ratio of the number of males to females is 1.5:1.67.
However, none of the options provided (9:5, 7:5, 7:9, 9:10) match this ratio. It seems there might be a mistake in the question or the provided options.
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