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In a group of persons, 70% of the persons are male and 30% of the persons are married. If two-seventh of the males are married, what fraction of the total females are unmarried?
  • a)
    3/5
  • b)
    2/3
  • c)
    3/2
  • d)
    4/5
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
In a group of persons, 70% of the persons are male and 30% of the per...
Let the total number of persons be x.
Number of males =70x/100
Number of females =30x/100
Number of married persons = 30x/100
Number of married males = 2/7 of total males
Out of 30x/100 married persons, x/5 are married males.
So, the number of married females
Therefore, the number of unmarried females
The fraction of females who are unmarried
Hence, the correct option is (B).
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Most Upvoted Answer
In a group of persons, 70% of the persons are male and 30% of the per...
To solve this question, let's consider a group of 100 persons for easier calculations. According to the given information, 70% of the persons are male. Therefore, there are 70 males in the group and 30 females.

Let's calculate the number of married persons next. We are given that 30% of the persons are married. So, out of 100 persons, 30 are married.

Now, we need to find the number of married males. We are given that two-seventh of the males are married. So, out of 70 males, (2/7) * 70 = 20 males are married.

To find the number of unmarried females, we subtract the number of married persons from the total number of females. So, 30 - 20 = 10 females are married.

Now, let's find the fraction of total females who are unmarried. We have already determined that there are 30 females in the group, and 10 of them are married. Therefore, the number of unmarried females is 30 - 10 = 20.

So, the fraction of total females who are unmarried is 20/30 = 2/3.

Therefore, the correct answer is option B) 2/3.

Let's summarize the solution:

1. Given information:
- 70% of the persons are male.
- 30% of the persons are married.
- Two-seventh of the males are married.

2. Calculation:
- Let's consider a group of 100 persons for easier calculations.
- 70% of 100 = 70 males.
- Remaining 30 are females.
- 30% of 100 = 30 persons are married.
- Two-seventh of 70 males = (2/7) * 70 = 20 males are married.
- Number of married females = 30 - 20 = 10.
- Number of unmarried females = Total females - Married females = 30 - 10 = 20.

3. Fraction of total females who are unmarried:
- Fraction = Unmarried females / Total females = 20/30 = 2/3.

4. Therefore, the correct answer is option B) 2/3.
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In a group of persons, 70% of the persons are male and 30% of the persons are married. If two-seventh of the males are married, what fraction of the total females are unmarried?a)3/5b)2/3c)3/2d)4/5Correct answer is option 'B'. Can you explain this answer?
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