Ramesh's income is 60% of Neha's income and Neha's income is 50% of Priya's income. What percent of Ramesh's income is Priya's income?

Answer 1

Let's denote Ramesh's income as \( R \), Neha's income as \( N \), and Priya's income as \( P \).

According to the information given:

1. Ramesh's income is 60% of Neha's income: \[ R = 0.6N \]

2. Neha's income is 50% of Priya's income: \[ N = 0.5P \]

Now, we want to find out what percent of Ramesh's income is Priya's income. To do this, we first express Priya's income in terms of Ramesh's income.

Start by substituting the expression for Neha's income into Ramesh's income equation: \[ N = 0.5P \Rightarrow P = \frac{N}{0.5} = 2N \]

Substituting this value of \( N \) in the equation for R: \[ R = 0.6N = 0.6(0.5P) = 0.3P \]

Now, we need to express \( P \) in terms of \( R \). From \( R = 0.3P \), we can solve for \( P \): \[ P = \frac{R}{0.3} = \frac{R}{3/10} = \frac{10R}{3} \]

Now we want to find what percent of Ramesh's income is Priya's income: \[ \text{Percent of Ramesh's income that is Priya's income} = \left( \frac{P}{R} \right) \times 100 \] Substituting \( P \): \[ = \left( \frac{\frac{10R}{3}}{R} \right) \times 100 = \left( \frac{10}{3} \right) \times 100 = \frac{1000}{3} \approx 333.33 \]

Thus, Priya's income is approximately 333.33% of Ramesh's income.