The population of a town is 155625. For every 1000 males there are 107...
The percentage of literacy in the town is 31.71%.
Solution:
Population of town = 155625
Number of males = 1000 * 155625/2075
= 75000
Number of females = 1075 * 155625/2075
= 80625
Number of literate males = 75000 * 40/100
= 30000
Number of females literate = 80625 * 24/100
= 19350
Total number of literate = 30000 + 19350 = 49350
Percentage of literate = 49350/155625 * 100
= 31.71
Hence, the percentage of literacy in the town is 31.71%.
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The population of a town is 155625. For every 1000 males there are 107...
Given information:
- Population of the town = 155625
- For every 1000 males, there are 1075 females
- 40% of the males are literate
- 24% of the females are literate
To find:
- The percentage of literacy in the town
Let's solve this step by step:
Step 1: Find the number of males and females in the town
- Let the number of males be x
- Since for every 1000 males, there are 1075 females, the number of females can be calculated as (1075/1000) * x
- The total population of the town is the sum of the number of males and females, so we have the equation x + (1075/1000) * x = 155625
- Simplifying this equation, we get (1 + 1075/1000) * x = 155625
- Solving for x, we find x = 155625 / (1 + 1075/1000)
- Evaluating this expression, we find x = 78125
So, the number of males in the town is 78125 and the number of females is (1075/1000) * 78125 = 83984.375 (which we can round off to 83984).
Step 2: Find the number of literate males and females
- 40% of the males are literate, so the number of literate males is 40/100 * 78125 = 31250
- 24% of the females are literate, so the number of literate females is 24/100 * 83984 = 20157.36 (which we can round off to 20157).
Step 3: Find the total number of literate people in the town
- The total number of literate people is the sum of the number of literate males and females, so we have 31250 + 20157 = 51407.
Step 4: Find the percentage of literacy in the town
- The percentage of literacy in the town is given by (total number of literate people / total population) * 100
- Plugging in the values, we get (51407 / 155625) * 100 ≈ 33.045
Therefore, the percentage of literacy in the town is approximately 33.045, which can be rounded off to 33.0 or 33.1.
Option C) 31.7 is the closest answer to the calculated value of 33.0 or 33.1, so the correct answer is option C.