Ratio And Proportion

Let the total sum be represented by

x

. The shares of P, Q, R, and S are in the ratio 5:2:4:3. The total number of parts is:

5%20%2B%202%20%2B%204%20%2B%203%20%3D%2014%20%5Ctext%7B%20parts%7D.

So, the value of one part is:

%5Cfrac%7Bx%7D%7B14%7D.

Now, it is given that R gets ₹1000 more than S. So, the difference between R's and S's share is:

4%5Cleft(%5Cfrac%7Bx%7D%7B14%7D%5Cright)%20-%203%5Cleft(%5Cfrac%7Bx%7D%7B14%7D%5Cright)%20%3D%20%5Cfrac%7Bx%7D%7B14%7D.

This difference is ₹1000:

%5Cfrac%7Bx%7D%7B14%7D%20%3D%201000.

Solving for

x

x%20%3D%201000%20%5Ctimes%2014%20%3D%2014000.

Now, the share of Q is:

2%5Cleft(%5Cfrac%7B14000%7D%7B14%7D%5Cright)%20%3D%202%20%5Ctimes%201000%20%3D%202000.

Thus, the share of Q is ₹2000.

Chapter Questions
1 MCQs