Direction: Study the graph given below and answer the question that follows.…

Concept

In a literacy-percentage chart, the number of literates in a village in any year equals that year's population multiplied by that year's literacy percentage. So Population = Literates ÷ (literacy% ÷ 100). When you are given the pairwise sums of the yearly literate counts and their overall total, each individual yearly literate count can be recovered by subtracting one pairwise sum from the grand total.

Reading the graph for Village B

From the radar chart, the literacy percentages for Village B are 30% in 2000, 40% in 2008 and 50% in 2012. Only the 2008 figure (40%) is needed here, because the question asks for the population in 2008.

Application — find the literate counts

Let the number of literates in Village B be L2000, L2008 and L2012. The data give three relations:

1. L2000 + L2008 = 1530 (literates of 2000 and 2008)

2. L2008 + L2012 = 2010 (literates of 2008 and 2012)

3. L2000 + L2008 + L2012 = 2490 (literates of all three years)

Subtract the second relation from the third to isolate the 2000 count:

1. L2000 = 2490 − 2010 = 480

2. L2008 = 1530 − L2000 = 1530 − 480 = 1050

3. L2012 = 2490 − 1530 = 960 (kept for the cross-check below)

Application — convert literates to population

Village B had 1050 literates in 2008 at a literacy rate of 40%. Since literates = population × 40%:

1. Population2008 = 1050 ÷ (40 ÷ 100)

2. Population2008 = 1050 ÷ 0.40 = 2625

Cross-check

Verify the recovered counts against all three given totals: 480 + 1050 = 1530 ✓, 1050 + 960 = 2010 ✓, and 480 + 1050 + 960 = 2490 ✓. All three conditions hold, and 40% of 2625 = 1050 reproduces the 2008 literate count, so the population of Village B in 2008 is 2625.