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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 ₹130
Question

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?

A.

52000

B.

78000

C.

39000

D.

65000

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×P=0.10×Q0.20 \times P = 0.10 \times Q​​
=>P=Q2\Rightarrow P = \frac{Q}{2}​​
0.10×Q=0.20×R0.10 \times Q = 0.20 \times R​​
=>Q=2×R\Rightarrow Q = 2 \times R​​
R = 13000​​

Finding Q's income: From Q = 2×R:2 \times R:​​
Q = 2×130002 \times 13000​ = 26000
Finding P's income: From P = Q2:\frac{Q}{2}:​​
P = 260002\frac{26000}{2}​ = 13000
Calculating the total income:
Total Income = P + Q + R = 13000 + 26000 + 13000 = 52000
Thus, the correct option is (a) ₹52000 


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