A recent survey of married couples in Indian metro cities showed that 20% of the couples have only child, 45% of the remaining couples have two children, and the rest of the couples have three or more children. What is the percentage of couples with three or more children?
44%
Understanding the Survey Data for Indian Metro Cities Couples
This solution explains how to calculate the percentage of married couples with three or more children based on survey data from Indian metro cities. The survey provides percentages for couples with one child and two children, and we need to find the percentage for those with three or more.
Analyzing Couple Distribution by Number of Children
Let's break down the information provided:
- The survey covers married couples in Indian metro cities.
- 20% of couples have only one child.
- Out of the remaining couples, 45% have two children.
- The rest of the couples have three or more children.
Step-by-Step Calculation for Percentage of Couples
We need to determine the percentage of couples with three or more children. Here's the step-by-step calculation:
1. Calculate Remaining Couples After One Child
First, find the percentage of couples who do not have only one child.
- Total couples represented as 100%.
- Percentage of couples with only one child = 20%.
- Percentage of remaining couples = Total couples - Couples with one child
- Percentage of remaining couples = 100% - 20% = 80%.
So, 80% of the couples surveyed have either two children or three or more children.
2. Calculate Percentage of Couples with Two Children
Next, calculate the percentage of couples who have two children. This is 45% of the remaining couples (80%).
- Percentage = 45% of 80%
- Using LaTeX for calculation: $45\% \times 80\% = \frac{45}{100} \times 80\%$
- Calculation: $\frac{45}{100} \times 80 = 0.45 \times 80 = 36$.
Therefore, 36% of the total couples surveyed have two children.
3. Calculate Percentage of Couples with Three or More Children
Finally, find the percentage of couples with three or more children. This is the portion of the remaining couples (80%) that does not have two children.
- Percentage of remaining couples = 80%.
- Percentage of couples with two children = 36%.
- Percentage of couples with three or more children = Remaining couples - Couples with two children
- Percentage = 80% - 36% = 44%.
Alternatively, we can sum the percentages of couples with one child and two children and subtract from the total:
- Percentage with one child = 20%
- Percentage with two children = 36%
- Total percentage with one or two children = 20% + 36% = 56%.
- Percentage with three or more children = 100% - (Percentage with one child + Percentage with two children)
- Percentage = 100% - 56% = 44%.
Final Conclusion on Survey Data
The calculation shows that 44% of the married couples surveyed in Indian metro cities have three or more children.
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