Multiple choice

The population of a certain town increased at a certain rate per annum. Now it is 456976, four years ago it was 390625. What was it been 2 years before? किसी एक कस्बे की जनसंख्या प्रतिवर्ष एक निश्चित दर से बढ़ती है। अब यह 456976 है। चार वर्ष पहले, यह 390625 थी। 2 वर्ष पूर्व यह कितनी रही होगी?

  1. 452200

  2. 425200

  3. 422200

  4. 422500

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Population 4 years ago = 390625, current population = 456976. Ratio = 456976/390625 = 1.17. Let growth rate be r. (1 + r)⁴ = 1.17. Therefore, 1 + r = (1.17)^(1/4) ≈ 1.04, so r ≈ 4%. Population 2 years ago = 390625 × (1.04)² ≈ 390625 × 1.0816 ≈ 422500. Alternatively: 390625 = 625² and 456976 = 676², giving growth factor 676/625 = 1.0816. Two years before = 390625 × 1.0816 = 422500. Option A (452200), B (425200), and C (422200) are incorrect calculations.