Direction : Table given below shows percentage of total literate population of…
2020
Direction : Table given below shows percentage of total literate population of five (A, B, C, D & E) villages, literate male, illiterate male and total female (literate + illiterate). Read the data carefully and answer the questions.
Note - 'NA' means some values are missing which you have to calculate if required.
Find the ratio between total male population to total female population in village B?
- A.
3 : 2
- B.
3 : 1
- C.
2 : 1
- D.
5 : 3
- E.
4 : 1
Show answer & explanation
Correct answer: B
Concept
In such tables, the total population of a village splits into literate and illiterate parts; each part further splits into male and female. To get total males, find the literate males and the illiterate males separately and add them. The total females are then whatever remains of the total population after removing all males. Percentages are taken of the part stated in the column heading: “Male literate” is a share of the literate group, and “Male illiterate” is a share of the illiterate group.
Application (Village B)
Take the total population of B as 100 units (any base works for a ratio).
Literate share = 72%, so literate = 72 units and illiterate = 100 − 72 = 28 units.
Male literate = 75% of the literate group = 0.75 × 72 = 54 units.
Male illiterate = 75% of the illiterate group = 0.75 × 28 = 21 units.
Total males = literate males + illiterate males = 54 + 21 = 75 units.
Total females = total − total males = 100 − 75 = 25 units.
Result
Total male : total female = 75 : 25 = 3 : 1.
Cross-check
Males 75 and females 25 add back to 100, the whole population — consistent. Equivalently, since both the literate group and the illiterate group are 75% male, the overall population is exactly 75% male regardless of the literate/illiterate split, which directly gives 75 : 25 = 3 : 1.