Question : The salaries of Kabir and Vicky are in the ratio 5 : 2. If the increments of 20% and 12% are allowed respectively in their salaries, then what will be the new ratio of their salaries?
Option 1: 25 : 73
Option 2: 81 : 28
Option 3: 75 : 28
Option 4: 91 : 25
Correct Answer: 75 : 28
Solution :
Let the salaries of Kabir and Vicky as K and V, respectively.
Given that the salaries of Kabir and Vicky are in the ratio 5 : 2.
So, $\frac{K}{V} = \frac{5}{2}$
If increments of 20% and 12% are allowed in their salaries, then the new salaries of Kabir and Vicky will be 1.2K and 1.12V, respectively.
Now, $\frac{1.2K}{1.12V} = \frac{1.2}{1.12} \times \frac{5}{2} = \frac{15}{14}\times \frac{5}{2}= \frac{75}{28}$
Hence, the correct answer is 75 : 28.
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