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In a town, 48% people are educated, 51% people are young and 60% are servicemen. 24% are educated and young, 25% are young and servicemen, 27% are educated and servicemen and 5% have all the qualities. If the total number of persons in this town is 300, what is the ratio of those who have exactly two characteristics and those who have only one characteristic?
- a)31/22
- b)47/61
- c)61/47
- d)None of these
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
In a town, 48% people are educated, 51% people are young and 60% are s...
Let's break down the given information step by step to find the ratio of those who have exactly two characteristics and those who have only one characteristic.
Step 1: Given percentages
- 48% of people are educated
- 51% of people are young
- 60% of people are servicemen
Step 2: Total number of persons
The total number of persons in the town is given as 300.
Step 3: Finding the number of people with each characteristic
To find the number of people with each characteristic, we multiply the given percentage with the total number of persons.
Number of educated people = 48% of 300 = 0.48 * 300 = 144
Number of young people = 51% of 300 = 0.51 * 300 = 153
Number of servicemen = 60% of 300 = 0.60 * 300 = 180
Step 4: Overlapping characteristics
The percentages given in the question indicate the overlap between different characteristics. We are given the following information:
- 24% are educated and young
- 25% are young and servicemen
- 27% are educated and servicemen
- 5% have all three characteristics (educated, young, and servicemen)
Step 5: Finding the number of people with each combination of characteristics
To find the number of people with each combination of characteristics, we multiply the given percentage with the total number of persons.
Number of people who are educated and young = 24% of 300 = 0.24 * 300 = 72
Number of people who are young and servicemen = 25% of 300 = 0.25 * 300 = 75
Number of people who are educated and servicemen = 27% of 300 = 0.27 * 300 = 81
Number of people who have all three characteristics = 5% of 300 = 0.05 * 300 = 15
Step 6: Finding the number of people with exactly two characteristics
To find the number of people with exactly two characteristics, we need to subtract the number of people with all three characteristics from each combination of characteristics.
Number of people who are only educated and young = (Number of people who are educated and young) - (Number of people who have all three characteristics) = 72 - 15 = 57
Number of people who are only young and servicemen = (Number of people who are young and servicemen) - (Number of people who have all three characteristics) = 75 - 15 = 60
Number of people who are only educated and servicemen = (Number of people who are educated and servicemen) - (Number of people who have all three characteristics) = 81 - 15 = 66
Step 7: Finding the number of people with only one characteristic
To find the number of people with only one characteristic, we need to subtract the number of people with exactly two characteristics from each characteristic.
Number of people who have only education = (Number of educated people) - (Number of people who are only educated and young) - (Number of people who are only educated and servicemen) - (Number of people who have all three characteristics) = 144 - 57 - 66 - 15 = 6
Number of people who have only youth = (
Step 1: Given percentages
- 48% of people are educated
- 51% of people are young
- 60% of people are servicemen
Step 2: Total number of persons
The total number of persons in the town is given as 300.
Step 3: Finding the number of people with each characteristic
To find the number of people with each characteristic, we multiply the given percentage with the total number of persons.
Number of educated people = 48% of 300 = 0.48 * 300 = 144
Number of young people = 51% of 300 = 0.51 * 300 = 153
Number of servicemen = 60% of 300 = 0.60 * 300 = 180
Step 4: Overlapping characteristics
The percentages given in the question indicate the overlap between different characteristics. We are given the following information:
- 24% are educated and young
- 25% are young and servicemen
- 27% are educated and servicemen
- 5% have all three characteristics (educated, young, and servicemen)
Step 5: Finding the number of people with each combination of characteristics
To find the number of people with each combination of characteristics, we multiply the given percentage with the total number of persons.
Number of people who are educated and young = 24% of 300 = 0.24 * 300 = 72
Number of people who are young and servicemen = 25% of 300 = 0.25 * 300 = 75
Number of people who are educated and servicemen = 27% of 300 = 0.27 * 300 = 81
Number of people who have all three characteristics = 5% of 300 = 0.05 * 300 = 15
Step 6: Finding the number of people with exactly two characteristics
To find the number of people with exactly two characteristics, we need to subtract the number of people with all three characteristics from each combination of characteristics.
Number of people who are only educated and young = (Number of people who are educated and young) - (Number of people who have all three characteristics) = 72 - 15 = 57
Number of people who are only young and servicemen = (Number of people who are young and servicemen) - (Number of people who have all three characteristics) = 75 - 15 = 60
Number of people who are only educated and servicemen = (Number of people who are educated and servicemen) - (Number of people who have all three characteristics) = 81 - 15 = 66
Step 7: Finding the number of people with only one characteristic
To find the number of people with only one characteristic, we need to subtract the number of people with exactly two characteristics from each characteristic.
Number of people who have only education = (Number of educated people) - (Number of people who are only educated and young) - (Number of people who are only educated and servicemen) - (Number of people who have all three characteristics) = 144 - 57 - 66 - 15 = 6
Number of people who have only youth = (
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Community Answer
In a town, 48% people are educated, 51% people are young and 60% are s...
Ratio = The no. of persons who hove exactly two characteristics/The no. of persons who have exactly only one characteristics = 61/22
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In a town, 48% people are educated, 51% people are young and 60% are servicemen. 24% are educated and young, 25% are young and servicemen, 27% are educated and servicemen and 5% have all the qualities. If the total number of persons in this town is 300, what is the ratio of those who have exactly two characteristics and those who have only one characteristic?a)31/22b)47/61c)61/47d)None of theseCorrect answer is option 'D'. Can you explain this answer?
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