A sum of money is divided between a and b in the ratio 5: 9, b divide half of his share to c and d in the ratio 11 :13 what is the total amount of money with the four if the share of c is 19800 rupees?
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Answer :
Step–by–step–explanation;
Given, a:b= 5:9, c:d= 11:13 and c= Rs 19800
To find , total amount of money
Let the ratio of a and b are 5x: 9x and than, let the ratio of c and d are 11x: 13x
First take c and d,
b= c + d
put all values
9x= 19800 + 13x
separate x one side
19800= 13x - 9x
19800= 4x
x= 19800/4
x= 4950
now take a and b
total amount of money= a +b
put the values of a and b
total amount of money =5x + 9x
now put the value of x
total amount of money =5*4950 +9*4950
total amount of money =24750 +44550
total amount of money =Rs 69300
it means the total amount of money is 69300 rupees
thank you
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