Question

In a city, 62% of the population is male and remaining are females. Out of the males 74% are literate and
remaining are illiterate. Out of females 65% are literate and remaining are illiterate. If total number of illiterate
population is 29,420, then the population of the city is?
1,25,000
• 1,13,000
1,28,000
• 1,00,000
None of these
Review
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Answer 1

Given :

%age of total population which are male = 62%

%age of males who are literate = 74%

%age of females who are literate = 65%

Total number of literate population in the city = 29429

To Find :

The total population of the city = ?

Solution :

Let the total population of the city be x .

Since male is 62 % , so %age of female is = 38 %

So number of males = $\frac{62}{100}x$

And number of females = $\frac{38}{100}x$

Now the 74% of males are literate , so number of males who are literate is =$\frac{74}{100}\times \frac{62}{100}x$

And also 65% females are literate , so number of literate females is =$\frac{65}{100}\times \frac{36}{100}x$

Now we have the total number of literate population is = no of literate males + no of literate females

Or, 29420= $\frac{74}{100}\times \frac{62}{100}x$ + $\frac{65}{100}\times \frac{36}{100}x$

Or, 29420=$\frac{(74\times 62 + 65 \times 36)x}{100 \times 100}$

Or,$29420 \times 100 \times 100 = 6928x$

Or,$x = \frac{294200000}{6928}$

Or , x = 42,465.358

Or, x $\approx$ 42,465

Hence , the total population of the city is 42,465.

Answer 2

Answer:

100000

Step-by-step explanation:

Males = 62%

Females = 38%

Let the population of the town be x,

According to the question,

(62/100) * x * (26/100) + (38/100) * x * (35/100) = 29420

=> 403x/2500 + 133x/1000 = 29420

=> 1471x/5000 = 29420

= > x = 29420*(5000/1471)

=> x = 100000

The population of the town is 100000