Table shows the number of persons in six cities A to F in 2020, with the male:female and literate:illiterate ratios.
| City | Persons | M:F | Literate:Illiterate |
|---|---|---|---|
| A | 500000 | 3:2 | 1:4 |
| B | 360000 | 4:6 | 4:1 |
| C | 280000 | 3:4 | 2:5 |
| D | 450000 | 5:4 | 3:2 |
| E | 500000 | 2:3 | 2:3 |
| F | 300000 | 2:1 | 7:3 |
The average of the total number of literates in Cities A, B, C and E together is (in lakhs)
A1.67 ✓ Correct
B0.72
C1.08
D1.52
Correct answer: (A) 1.67
Explanation
The average is 1.67 lakh, so the answer is 1.67.
City A has 1,00,000 literates from a 1:4 literate-to-illiterate ratio on 5,00,000 persons.
City B has 2,88,000 literates and City C has 80,000 literates.
City E has 2,00,000 literates from a 2:3 ratio on 5,00,000 persons.
Their total is 1,00,000 plus 2,88,000 plus 80,000 plus 2,00,000, which is 6,68,000.
The average over four cities is 6,68,000 divided by 4, which is 1,67,000.
That is 1.67 lakh.
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