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 total population of village E?
- A.
4200
- B.
3600
- C.
4000
- D.
3000
- E.
4800
Show answer & explanation
Correct answer: B
Concept
In such a table, every village's people split two ways at once: by literacy (literate vs illiterate) and by gender (male vs female). The whole population is the sum of all males and all females, so a clean approach is:
Total population = Total males + Total females, where Total males = Male literate + Male illiterate.
The trap is the column "Male illiterate (in %) out of total illiterate": that percentage is taken of the illiterate group only, not of the whole village.
Reading the data for this village
Literate share = 85%, so the illiterate share = 100% − 85% = 15% of the total population T.
Male illiterate = 60% of the illiterate group = 0.60 × 0.15T = 0.09T.
Male literate = 1530 (read directly).
Total female (literate + illiterate) = 1746 (read directly).
Setting up and solving
Total males = Male literate + Male illiterate = 1530 + 0.09T.
Total population = Total males + Total females:
T = (1530 + 0.09T) + 1746
T − 0.09T = 1530 + 1746
0.91T = 3276
T = 3276 ÷ 0.91 = 3600.
Cross-check
With T = 3600: illiterates = 0.15 × 3600 = 540, of which males = 0.60 × 540 = 324. Total males = 1530 + 324 = 1854. Females = 1746. 1854 + 1746 = 3600. Every part is a whole number and the totals reconcile, so the total population is 3600.