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The bar graph in panel (a) shows the proportion of male and female illiterates in $2001$ and $2011.$ The proportions of males and females in $2001$ and $2011$ are given in Panel (b) and (c), respectively. The total population did not change during this period. The percentage increase in the total number of literates from $2001$ to $2011$ is ______.

  1. $30.43$
  2. $33.43$
  3. $34.43$
  4. $35.43$
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Migrated from GO Electronics 4 years ago by Arjun

2 Answers

Best answer
11 votes
11 votes

The graph is for illiterates. 

  • Percentage of male literates in $2011 =100-40=60$
  • Percentage of male literates in $2001 =100- 50=50$
  • Percentage of female literates in $2011 =100-40=60$
  • Percentage of female literates in $2001 =100- 60=40$

Let $X$ be the total population (This remains same in $2001$ and $2011$ as per question)

Number of literates in $2011 = 0.5 \times 0.6 \times X + 0.5 \times 0.6 \times X = 0.6 X$

Number of literates in $2001 = 0.6 \times 0.5 \times X + 0.4 \times 0.4 \times X = 0.46 X$

So, percentage increase in the literates $ = \dfrac{0.6X - 0.46X}{0.46X} \times {100\%} = \dfrac{700}{23}=30.43$

Option A.

11 votes
11 votes

Let us consider total no of population is 100.

It is given total population doesn't change remain same both years.

in 2001

no of male=60

Literate male= 50%of 60=30

No of females= 40

Literate females= 40% of 40=16

So total literate in 2001=30+16=46

in 2011

no of male are 50% so 50

Literate male= 60% of 50= 30

No of females= 50

Literate females= 60%of 50=30

So total literate in 2011= 30+30=60

percentage change in literate population from 2001 to 2011

=( Total literate in 2011-total literate in 2001)*100/total literate in 2001

=( 60-46)*100/46= 1400/46= 30.43%

Answer A

 

Answer:

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