20 percent of P's income is equal to 10 percent of Q's income and 10 percent of Q's income is equal to 20 percent of R's income. If R's income is ₹13000, then what is the total income of P, Q and R?

Correct option is A

Given:
20% of P's income = 10% of Q's income
10% of Q's income = 20% of R's income
R's income = ₹130
​Solution:
​$$0.20 \times P = 0.10 \times Q$$​​
​$$\Rightarrow P = \frac{Q}{2}$$​​
​$$0.10 \times Q = 0.20 \times R$$​​
​$$\Rightarrow Q = 2 \times R$$​​
R = 13000​​

Finding Q's income: From Q = $$2 \times R:$$​​
Q = $$2 \times 13000$$​ = 26000
Finding P's income: From P = $$\frac{Q}{2}:$$​​
P = $$\frac{26000}{2}$$​ = 13000
Calculating the total income:
Total Income = P + Q + R = 13000 + 26000 + 13000 = 52000
Thus, the correct option is (a) ₹52000