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The 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?Options7:99:109:57:5

Question

The 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?Options7:99:109:57:5

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Solution

Let's solve this step by step:

  1. Let's denote the total amount of salary distributed to males as M and to females as F. According to the problem, the ratio M:F is 6:5.

  2. Let's denote the salary of each male as m and each female as f. According to the problem, the ratio m:f is 4:3.

  3. We are asked to find the ratio of the number of males to the number of females. Let's denote the number of males as X and the number of females as Y.

  4. Since the total amount of salary for each gender is the product of the salary per person and the number of people, we have M = mX and F = fY.

  5. Substituting the ratios into these equations, we get 6/5 = (4/3)*(X/Y).

  6. Solving this equation for X/Y gives us the ratio of the number of males to the number of females.

  7. Cross multiplying, we get 18X = 20Y.

  8. Simplifying, we get X/Y = 20/18 = 10/9.

So, the ratio of the number of males to females is 10:9.

This problem has been solved

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