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The population of a district is 368000, out of which 220000 are males. 62% of the population is literate. If 62% males are literate, then what percent
Question

The population of a district is 368000, out of which 220000 are males. 62% of the population is literate. If 62% males are literate, then what percentage of females are literate?

A.

63%

B.

59%

C.

60%

D.

62%

Correct option is D

Given:

Total population = 3,68,000

Male population = 2,20,000

Female population = 3,68,000 − 2,20,000 = 1,48,000

Total literates = 62% of 3,68,000

Literate males = 62% of 2,20,000

Find % of literate females.

Formula Used:

% of literate females

=Literate femalesTotal females×100 = \frac{\text{Literate females}}{\text{Total females}} \times 100​​

Solution:

Total literates = 62100×3,68,000\frac{62}{100} \times 3,68,000​ = 2,28,160

Literate males = 62100×2,20,000\frac{62}{100} \times 2,20,000​ = 1,36,400

Literate females = 2,28,160 − 1,36,400 = 91,760

% of literate females

=91,7601,48,000×100 \frac{91,760}{1,48,000} \times 100​ = 62% 

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