What will the Growth Rate Cycles Production in the Factory? If

In a factory, the production of cycles rose to 48,400 from 40,000 in 2 years. The rate of growth per annum is:

  1. 8%
  2. 9%
  3. 10.5%
  4. 10%
Monis Rasool Professor Asked on 7th July 2015 in Maths.
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1 Answer(s)

Answer: (4) 10%
Explanation:-
Let the rate of growth of production of cycles = R%
After two years production of cycles = 48,400
Therefore,
48400 = 40,000(1 + R/100)2
= (1 + R/100)2 = 48400/40,000
(1 + R/100)2 = 484/400
(1 + R/100)2 = (22/20)2
Comparing on both side,
1 + R/100 = 22/20
(100 + R) x 20 = 22 x 100
100 + R  = 22 x 5
R = 110 – 100
R = 10%
Hence, the answer is (4) 10%.

Anurag Mishra Professor Answered on 9th July 2015.
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