The production of bottles rose to 26000 from 16000 in 2 years. Find the rate of growth per annum. 2 वर्षों में बोतलों का उत्पादन 16000 से बढ़कर 26000 हो गया। प्रतिवर्ष वृद्धि दर ज्ञात कीजिए।
Solution:
Let rate = r%
Using compound growth formula:
A = P(1 + r/100)²
26000 = 16000(1 + r/100)²
⇒ (1 + r/100)² = 26000 / 16000
⇒ (1 + r/100)² = 26 / 16
⇒ (1 + r/100)² = 13 / 8
⇒ 1 + r/100 = √(13/8) ≈ √1.625 ≈ 1.275
⇒ r/100 = 1.275 − 1
⇒ r/100 = 0.275
⇒ r ≈ 27.5%
✅ Final Answer: 27.5% per annum