If Raju earns 20% more than Vijay, then what percentage of income earned by Vijay is less than the income earned by Raju ?

Correct option is B

Given:
Raju earns 20% more than Vijay.

Formula Used:

$$\text{Percentage} = \frac{\text{Difference}}{\text{Raju's Income}} \times 100$$​

Solution:

Let Vijay's income be 100 units. Since Raju earns 20% more, his income will be:

Raju's income = 100 + (20% of 100) = 100 + 20 = 120 units

Vijay's income is less compared to Raju's:

​$$\text{Percentage} = \frac{\text{Difference}}{\text{Raju's Income}} \times 100$$

Percentage ​​= $$\frac{120 - 100}{120} \times 100$$​

Percentage = ​$$\frac{20}{120} \times 100$$​

Percentage = $$\frac{100}{6} = \frac{50}{3}\%$$

Thus, the correct answer is (b).

Alternative Method:

Raju : Vijay

6x : 5x

Percentage = $$\frac{6x-5x}{6x}\times 100 = \frac{1x}{6x}\times 100 = \frac{50}{3}\%$$​​