Direction : Table given below shows percentage of total literate population of…

Concept

In any population every person is either literate or illiterate and either male or female, so Total population = literate males + literate females + illiterate males + illiterate females. Whenever a figure is quoted as a percentage of a sub-group (the literate set, or the illiterate set), multiply it by that sub-group's size, never by the whole population. With the totals expressed in one unknown, a single given quantity such as the male-minus-female difference is enough to pin down that unknown.

Applying it to village D

1. Let the total population of village D be P. Literate are 96% of the population, so literate = 0.96P and illiterate = 0.04P.

2. Literate males are 70% of the literate population, so literate males = 0.70 x 0.96P = 0.672P.

3. Male illiterate is 50% of the total illiterate, so illiterate males = 0.50 x 0.04P = 0.02P.

4. Total males = 0.672P + 0.02P = 0.692P, hence total females = P - 0.692P = 0.308P.

Using the given difference

1. Male - Female = 0.692P - 0.308P = 0.384P, and this equals 1152.

2. So 0.384P = 1152, giving P = 1152 / 0.384 = 3000.

3. Total females = 0.308 x 3000 = 924; literate females = literate - literate males = 0.96P - 0.672P = 0.288P = 864.

4. Illiterate females = total females - literate females = 924 - 864 = 60.

Cross-check

Apply the same method to village A, where the total female value 750 is already printed: literate = 0.75 x 2000 = 1500, literate males = 1050 (given), so literate females = 450; illiterate = 500 and male illiterate = 40% x 500 = 200, so females = 2000 - 1050 - 200 = 750. The computed 750 matches the printed value, confirming the method and the unit reading; the same method gives 60 illiterate females for village D.

Answer: total illiterate females in village D = 60.