In a party the ratio of male and female is 5 : 4, the ratio of married and bachelor males is 2 : 5 and the ratio of married and unmarried females is 1 : 3. Total persons in the party are 630. If a man contributes Rs. 20 and a female Rs. 10, then what is the average contribution (in Rs.) per head by unmarried persons?a)15.4b)14.4c)13.4d)12.4Correct answer is option 'A'. Can you explain this answer?

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In a party the ratio of male and female is 5 : 4, the ratio of married and bachelor males is 2 : 5 and the ratio of married and unmarried females is 1 : 3. Total persons in the party are 630. If a man contributes Rs. 20 and a female Rs. 10, then what is the average contribution (in Rs.) per head by unmarried persons?

a)
15.4
b)
14.4
c)
13.4
d)
12.4

Correct answer is option 'A'. Can you explain this answer?

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In a party the ratio of male and female is 5 : 4, the ratio of married...

Total persons = 630

Male : Female = 5 : 4

Females = 630 - 350 = 280

Bachelor males = 350 - 100 = 250

Unmarried females = 280 - 70 = 210

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In a party the ratio of male and female is 5 : 4, the ratio of married...

Given information:
- Ratio of male to female = 5:4
- Ratio of married to bachelor males = 2:5
- Ratio of married to unmarried females = 1:3
- Total persons in the party = 630

To find:
- Average contribution per head by unmarried persons

Let's solve this step by step.

Step 1: Find the number of males and females in the party
Let the common ratio be "x".
Number of males = 5x
Number of females = 4x

Step 2: Find the number of married and unmarried males
Let the common ratio for married and unmarried males be "y".
Number of married males = 2y
Number of bachelor males = 5y

Step 3: Find the number of married and unmarried females
Let the common ratio for married and unmarried females be "z".
Number of married females = z
Number of unmarried females = 3z

Step 4: Find the values of x, y, and z
We know that the total number of persons in the party is 630.
Therefore, 5x + 4x = 630
9x = 630
x = 70

Substituting the value of x in step 1, we get:
Number of males = 5 * 70 = 350
Number of females = 4 * 70 = 280

Substituting the value of x in step 2, we get:
Number of married males = 2 * y
Number of bachelor males = 5 * y

Substituting the value of x in step 3, we get:
Number of married females = z
Number of unmarried females = 3 * z

Step 5: Find the values of y and z
Since we don't have any information about the values of y and z, we cannot determine their exact values. However, we can find the average contribution per head by unmarried persons.

Step 6: Calculate the average contribution per head by unmarried persons
Let the total contribution by males be 20x and the total contribution by females be 10x.
Total contribution by unmarried persons = (Number of bachelor males * 20) + (Number of unmarried females * 10)
= (5y * 20) + (3z * 10)

Since we don't have the exact values of y and z, we cannot calculate the exact average contribution per head by unmarried persons. However, we can make an approximation.

If we assume y = 1 and z = 1, we get:
Total contribution by unmarried persons = (5 * 1 * 20) + (3 * 1 * 10)
= 100 + 30
= 130

Approximate average contribution per head by unmarried persons = Total contribution by unmarried persons / Total number of unmarried persons
= 130 / (5y + 3z)
= 130 / (5 * 1 + 3 * 1)
= 130 / 8
= 16.25

Therefore, the approximate average contribution per head by unmarried persons is 16.25.

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In a party the ratio of male and female is 5 : 4, the ratio of married and bachelor males is 2 : 5 and the ratio of married and unmarried females is 1 : 3. Total persons in the party are 630. If a man contributes Rs. 20 and a female Rs. 10, then what is the average contribution (in Rs.) per head by unmarried persons?a)15.4b)14.4c)13.4d)12.4Correct answer is option 'A'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about In a party the ratio of male and female is 5 : 4, the ratio of married and bachelor males is 2 : 5 and the ratio of married and unmarried females is 1 : 3. Total persons in the party are 630. If a man contributes Rs. 20 and a female Rs. 10, then what is the average contribution (in Rs.) per head by unmarried persons?a)15.4b)14.4c)13.4d)12.4Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a party the ratio of male and female is 5 : 4, the ratio of married and bachelor males is 2 : 5 and the ratio of married and unmarried females is 1 : 3. Total persons in the party are 630. If a man contributes Rs. 20 and a female Rs. 10, then what is the average contribution (in Rs.) per head by unmarried persons?a)15.4b)14.4c)13.4d)12.4Correct answer is option 'A'. Can you explain this answer?.

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