Question : In the following table year year-wise ratio of the number of taxable and non-taxable products produced by a company has been shown. The total production of the company increases by 10% every year.
| Year | Taxable: non-taxable |
| 2010 | 5 : 3 |
| 2011 | 4 : 1 |
| 2012 | 2 : 3 |
| 2013 | 4 : 5 |
| 2014 | 5 : 4 |
Find the ratio of taxable products produced in the years 2011 and 2012 and non-taxable products produced in the years 2011 and 2012.
Option 1: 3 : 2
Option 2: 62 : 43
Option 3: 43 : 62
Option 4: 2 : 3
Correct Answer: 62 : 43
Solution :
Given: The total production of the company increases by 10% every year.
Let the total product in 2011 = 100
So, the total product in 2012 = 110
Given: Ratio in 2011 for taxable and non-taxable = 4 : 1 = 80 : 20
Ratio in 2012 at 110 for taxable and non-taxable = 2 : 3 = 44 : 66
Adding taxable and non-taxable = 80 + 44 : 20 + 66 = 124 : 86 = 62 : 43
Hence, the correct answer is 62 : 43.
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