To determine the percentage decrease in the number of illiterate persons from 150 lakhs to 100 lakhs over 10 years, we can follow these steps:
1. Identify the initial and final values:
- Initial number of illiterate persons: [tex]\(150\)[/tex] lakhs
- Final number of illiterate persons: [tex]\(100\)[/tex] lakhs
2. Calculate the decrease in the number of illiterate persons:
[tex]\[
\text{Decrease} = \text{Initial number} - \text{Final number}
\][/tex]
[tex]\[
\text{Decrease} = 150 \text{ lakhs} - 100 \text{ lakhs} = 50 \text{ lakhs}
\][/tex]
3. Calculate the percentage decrease:
[tex]\[
\text{Percentage decrease} = \left( \frac{\text{Decrease}}{\text{Initial number}} \right) \times 100
\][/tex]
[tex]\[
\text{Percentage decrease} = \left( \frac{50 \text{ lakhs}}{150 \text{ lakhs}} \right) \times 100
\][/tex]
[tex]\[
\text{Percentage decrease} = \frac{50}{150} \times 100
\][/tex]
[tex]\[
\text{Percentage decrease} = \frac{1}{3} \times 100
\][/tex]
[tex]\[
\text{Percentage decrease} = 33.3333\ldots \%
\][/tex]
Thus, the percentage decrease in the number of illiterate persons is approximately [tex]\(33.33\%\)[/tex] or exactly [tex]\(33 \frac{1}{3} \%\)[/tex].
Therefore, the correct answer is:
c) [tex]\(33 \frac{1}{3} \%\)[/tex]
