The salaries of Ram, Balaram and Shyam are in the ratio 3: 6: 5. If their salaries are increased by 33.33%, 16.66% and 20% respectively, then find the ratio of their increased salaries.

Correct option is C

Given:
Original salary ratio of Ram : Balaram : Shyam = 3 : 6 : 5
Salary increases:
Ram: 33.33% → $$\frac{1}{3}$$​​
Balaram: 16.66% → $$\frac{1}{6}$$​​
Shyam: 20% → $$\frac{1}{5}$$

Formula Used:

Increased Salary} = $$\text{Original Salary} \times \left(1 + \frac{\text{Increase \%}}{100}\right)$$

Solution:​​

Let original salaries be:
Ram = 3, Balaram = 6, Shyam = 5

Increased salaries:
Ram = $$3 \times \left(1 + \frac{1}{3}\right) = 3 \times \frac{4}{3} = 4$$​
Balaram = $$6 \times \left(1 + \frac{1}{6}\right) = 6 \times \frac{7}{6} = 7$$​
Shyam = $$5 \times \left(1 + \frac{1}{5}\right) = 5 \times \frac{6}{5} = 6$$​
So, the ratio of their increased salaries is 4 : 7 : 6

Thus, the correct answer is (c).

Alternative Method:

​$$3 \times \frac{4}{3} : 6 \times \frac{7}{6} : 5 \times \frac{6}{5}$$

4 : 7 : 6