The income of Anand is 30% more than the income of Mayank and the income of Radhika is 70% of the combined income of Anand and Mayank. By what percentage is the income of Radhika more than that of Anand ? (Correct to one decimal place)

Correct option is D

Given:

Anand's income = 30% more than Mayank's income

Radhika's income = 70% of the combined income of Anand and Mayank

Solution:​

Let Mayank's income = M 
Anand's income = A = M + 0.30M = 1.30M 
Combined income of Anand and Mayank = A + M = 1.30M + M = 2.30M 
Radhika's income = R$$= 0.70 \times 2.30M = 1.61M$$​​

Now, the percentage by which Radhika's income is more than Anand's is:
​$$\text{Percentage increase} = \frac{R - A}{A} \times 100 = \frac{1.61M - 1.30M}{1.30M} \times 100$$​​
​$$= \frac{0.31M}{1.30M} \times 100$$​ = 23.8%

Radhika's income is 23.8% more than Anand's income.