Question : The salaries of a father, mother and daughter are in the ratio 2 : 3 : 5. What will be the ratio of their salaries if there was an increase of 15%, 10% and 20%, respectively?
Option 1: 19 : 13 : 15
Option 2: 23 : 33 : 60
Option 3: 17 : 37 : 50
Option 4: 17 : 18 : 25
Correct Answer: 23 : 33 : 60
Solution :
Salary of father = $2x$
Salary of mother = $3x$
Salary of daughter = $5x$
There is an increase in the salary, 15%, 10%, and 20% respectively,
Now,
Salary of father $=2x + \frac{15\times 2x}{100} = \frac{230x}{100}$
Salary of mother $= 3x+\frac{10\times 3x}{100} = \frac{330x}{100}$
Salary of daughter $=5x+\frac{20\times5x}{100} = \frac{600x}{100}$
So, the required ratio = 230 : 330 : 600 = 23 : 33 : 60
Hence, the correct answer is 23 : 33 : 60.
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