The following table shows the percentage (%) distribution of total population,…

2022

The following table shows the percentage (%) distribution of total population, literate males and literate females in six cities A-F. In all six cities together, total population, number of literate males and number of literate females are 1.5 crore, 40 lakh and 25 lakh, respectively. Ratio of males to females among the total population is 8 : 7. Based on the data in the table, answer the questions 1-5:

City-wise Distribution of Population

City

Population (out of 1.5 crore)

Literate Males (out of 40 lakh)

Literate Females (out of 25 lakh)

A

16%

18%

24%

B

18%

12%

18%

C

21%

20%

12%

D

15%

16%

16%

E

20%

19%

20%

F

10%

15%

10%

The number of literate males in City E is what percentage of the number of literate females in City F?

Answer: C. 304%ConceptTo express one quantity as a percentage of another, divide the first quantity by the second and multiply by 100. When the table gives percentages of…

  1. A.

    240%

  2. B.

    118%

  3. C.

    304%

  4. D.

    32.80%

Attempted by 3 students.

Show answer & explanation

Correct answer: C

Concept

To express one quantity as a percentage of another, divide the first quantity by the second and multiply by 100.

When the table gives percentages of different totals, first convert each percentage share into its actual amount.

Application

  1. City E literate males = 19% of 40 lakh = (19/100) × 40 = 7.6 lakh.

  2. City F literate females = 10% of 25 lakh = (10/100) × 25 = 2.5 lakh.

  3. Required percentage = (7.6/2.5) × 100 = 304%.

Cross-check

304% of 2.5 lakh = 3.04 × 2.5 lakh = 7.6 lakh, which reproduces the City E literate-male count.

Therefore, the required percentage is 304%.

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