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The population of a village is 8000. Out of these, 80% are literate and of these literate people, 40% are women. Find the ratio of the number of literate women to the total population.

Solution:

Given, the population of a village is 8000

80% of the total population are literate people

Out of these 80% literate people, 40% are women.

We have to find the ratio of the number of literate women to the total population.

Total population = 8000

Number of literate people = 80% of 8000

= (80/100) × 8000

= 80 × 80

= 6400

Number of literate women = 40% of 6400

= (40/100) × 6400

= 40 × 64

= 2560

Ratio of the number of literate women to the total population = 2560 : 8000

= 256 : 800

= 128 : 400

= 64 : 200

= 32 : 100

= 16 : 50

= 8 : 25

Therefore, the required ratio is 8 : 25

✦ Try This: 35% of the population of a town are men and 40% are women. What is the ratio of children to the percentage of the adult population?

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 8

NCERT Exemplar Class 7 Maths Chapter 7 Problem 112

The population of a village is 8000. Out of these, 80% are literate and of these literate people, 40% are women. Find the ratio of the number of literate women to the total population.

Summary:

The population of a village is 8000. Out of these, 80% are literate and of these literate people, 40% are women. The ratio of the number of literate women to the total population is 8 : 25.

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