The production of bottles rose to 26000 from 16000 in 2 years. Find the rate of growth per annum.

बोतलों का उत्पादन 2 वर्षों में 16000 से बढ़कर 26000 हो गया। वार्षिक वृद्धि दर ज्ञात कीजिए।

This Question Asked In:
SSC, CGL MAINS 2026
  • A. 25%
  • B. 27.5%
  • C. 30%
  • D. 35%
Correct Answer :B - 27.5%
Detailed Solution Video
Video Credit –Nikhil Sharma Maths
Detailed Text Solution

Let the annual growth rate be r%.

Using compound growth formula:
Final = Initial (1 + r/100)^2

26000 = 16000 (1 + r/100)^2

26000/16000 = (1 + r/100)^2

1.625 = (1 + r/100)^2

Taking square root:
1 + r/100 = √1.625

√1.625 ≈ 1.275

r/100 = 0.275

r = 27.5%

Therefore, the annual growth rate is 27.5%.

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