Step 1: Understand the problem

The problem is about dividing a sum of money among three people (P, Q, and R) in the ratio of 2:3:5. We also know that the total share of P and R together is Rs 400 more than that of Q.

Step 2: Set up the equations

Let's denote the common ratio as x. So, the shares of P, Q, and R would be 2x, 3x, and 5x respectively.

According to the problem, the sum of the shares of P and R is Rs 400 more than the share of Q. We can write this as:

2x + 5x = 3x + 400

Step 3: Solve the equation

Solving the above equation, we get:

7x = 3x + 400
4x = 400
x = 100

Step 4: Find R's share

Now that we know the value of x, we can find R's share by multiplying the ratio of R's share (which is 5) by x:

R's share = 5x = 5*100 = Rs 500

So, R's share of the money is Rs 500.

Question

Step 1: Understand the problem

The problem is about dividing a sum of money among three people (P, Q, and R) in the ratio of 2:3:5. We also know that the total share of P and R together is Rs 400 more than that of Q.

Step 2: Set up the equations

Let's denote the common ratio as x. So, the shares of P, Q, and R would be 2x, 3x, and 5x respectively.

According to the problem, the sum of the shares of P and R is Rs 400 more than the share of Q. We can write this as:

2x + 5x = 3x + 400

Step 3: Solve the equation

Solving the above equation, we get:

7x = 3x + 400
4x = 400
x = 100

Step 4: Find R's share

Now that we know the value of x, we can find R's share by multiplying the ratio of R's share (which is 5) by x:

R's share = 5x = 5*100 = Rs 500

So, R's share of the money is Rs 500.

Knowee AI · Accepted Answer