Multiple choice

A tree was planted 2 years ago. It increases at the rate of 20% per annum. If at present, the height of the tree 680 cm, what was it when the tree was planted? एक पेड़ 2 वर्ष पहले लगाया गया था। यह 20% वार्षिक वृद्धि दर से बढ़ता हैं। यदि इसकी वर्तमान ऊंचाई 680 सेमी है। तो लगाते समय पेड़ की ऊंचाई क्या थी?

  1. 472 cm./सेमी

  2. 380 cm./सेमी

  3. 379 cm./सेमी

  4. 439 cm./सेमी
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A Correct answer
Explanation

Tree grows at 20% per annum for 2 years. If initial height was h, present height = h × (1 + 20/100)² = h × (1.2)² = h × 1.44 = 680 cm. So initial height h = 680/1.44 = 472 cm (approximately). Verification: 472 × 1.2 = 566.4, then 566.4 × 1.2 = 679.68 ≈ 680.

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