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Numericals · Q11

Q.The population of a state was 3.2 crore in 2001 and 3.85 crore in 2011. Calculate the decadal growth rate of population.

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✓ Free question

Given: Population in 2001 (Pt−10P_{t-10}) = 3.2 crore; Population in 2011 (PtP_t) = 3.85 crore.

Formula:

Decadal Growth Rate (%)=Pt−Pt−10Pt−10×100\text{Decadal Growth Rate (\%)} = \frac{P_t - P_{t-10}}{P_{t-10}} \times 100

Step 1 — Find the increase: 3.85−3.2=0.653.85 - 3.2 = 0.65 crore.

Step 2 — Apply the formula: 0.653.2×100=20.3125%\dfrac{0.65}{3.2} \times 100 = 20.3125\%.

Verification (independent check): 3.2×1.203125=3.853.2 \times 1.203125 = 3.85 crore, which matches the given 2011 population, confirming the answer.

✓Final answer

Decadal Growth Rate ≈ 20.31%.

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