Question

Mr gopal divided Rs.6500 among his two choldren sohum and sanya is the ratio 7:6 tind the share of money each of them get?​

Answer 1

Given

• Amount to be shared = ₹6500
• Ratio between Sohum and Sanya = 7 : 6

To find

• Share of Sohum and Sanya

Solution

☯ In the question, it is given that 6500 is divided between two children Sohum and Sanya in the ratio 7 : 6 , we need to find the share of each child, so we shall take the ratio's and add them and equate it to the total share, we can take the ratio's as 7x and 6x where x is any number.

• 7x + 6x = 6500
• 13x = 6500
• x = 6500/13
• x = 500

☯ Value of x is 500

☯ Now, let's find their share's by substituting the value of x in their respective ratio's

• 7x = 7(500)
• 3500
• 6x = 6(500)
• 3000

☯ Hence, the shares of Sohum and Sanya are ₹3500 and ₹3000

☯ We can also verify by adding their ratio's or share's

• Sohum share + Sanya share = Amount to be shared
• ₹3500 + ₹3000 = ₹6500
• ₹6500 = ₹6500

Answer 2

7x + 6x = 6500 13x = 6500 x = 6500/13 x = 500

7x = 7(500) 3500 6x = 6(500) 3000