Population of a village is 7960 in which 4660 are female. If in that village 60% are literate in which 70% female are literate, then what is the number of literate male ?
1514
Solving the Village Population Literacy Problem
This problem asks us to find the number of literate males in a village given the total population, the number of females, the overall literacy rate, and the literacy rate among females.
Understanding the Given Information
- Total Population = 7960
- Number of Females = 4660
- Overall Literacy Rate = 60%
- Literacy Rate among Females = 70%
Step 1: Calculate the Number of Males
The total population consists of males and females. We can find the number of males by subtracting the number of females from the total population.
Number of Males $=$ Total Population $-$ Number of Females
Number of Males $=$ $7960 - 4660$
Number of Males $=$ $3300$
So, there are 3300 males in the village.
Step 2: Calculate the Total Number of Literate People
We are given that 60% of the total population is literate. We can calculate the total number of literate people using this percentage.
Total Literate People $=$ Total Population $\times$ Overall Literacy Rate
Total Literate People $=$ $7960 \times 60\%$
Total Literate People $=$ $7960 \times \frac{60}{100}$
Total Literate People $=$ $7960 \times 0.60$
Total Literate People $=$ $4776$
So, there are 4776 literate people in the village.
Step 3: Calculate the Number of Literate Females
We are given that 70% of the females are literate. We can calculate the number of literate females using the number of females and this percentage.
Number of Literate Females $=$ Number of Females $\times$ Literacy Rate among Females
Number of Literate Females $=$ $4660 \times 70\%$
Number of Literate Females $=$ $4660 \times \frac{70}{100}$
Number of Literate Females $=$ $4660 \times 0.70$
Number of Literate Females $=$ $3262$
So, there are 3262 literate females in the village.
Step 4: Calculate the Number of Literate Males
The total literate population consists of literate males and literate females. We can find the number of literate males by subtracting the number of literate females from the total literate population.
Number of Literate Males $=$ Total Literate People $-$ Number of Literate Females
Number of Literate Males $=$ $4776 - 3262$
Number of Literate Males $=$ $1514$
Therefore, the number of literate males in the village is 1514.
Final Answer
The number of literate males in the village is 1514.
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