Q: Using the data provided in the table below, if the male population above the Educational Index in Uttar Pradesh (UP) is 1.6 lakhs, what is the approximate total population of UP (in lakhs)?
| State | % of Population Below Educational Index | Proportion of Males & Females Below Index | Proportion of Males & Females Above Index |
|---|---|---|---|
| Gujarat | 15 | 3:2 | 2:1 |
| Delhi | 20 | 1:3 | 3:1 |
| Rajasthan | 18 | 3:4 | 1:4 |
| MP | 12 | 2:5 | 2:3 |
| Punjab | 11 | 3:5 | 4:5 |
| UP | 16 | 2:3 | 5:1 |
| Kerala | 10 | 1:5 | 3:2 |
- 1) 3.69
- 2) 2.28
- 3) 2.96
- 4) 3.67
Correct Answer: 2) 2.28
Solution:
From the table:
- Proportion of Males and Females Above Educational Index in UP: 5:1
- Percentage of Population Below Educational Index in UP: 16%
Step 1: Calculate the Total Population Above the Educational Index.
Since the male-to-female ratio above the Educational Index is 5:1, for every 6 people, 5 are males and 1 is female.
If the male population above the Educational Index is 1.6 lakhs:
\[ \frac{1.6 \, \text{lakhs}}{5} \times 6 = 1.92 \, \text{lakhs} \]
Step 2: Calculate the Total Population of UP.
Since 84% of the population is above the Educational Index (100% – 16%), let \(X\) be the total population:
\[ 0.84X = 1.92 \, \text{lakhs} \Rightarrow X = \frac{1.92}{0.84} = 2.285 \, \text{lakhs} \]
Step 3: Approximate the Total Population.
The closest option to 2.285 lakhs is 2.28 lakhs.
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