Question

divide ₹10400 among A , B and C in thrvratio 1/2 1/3 1/4

Answer 1

A = 1/2

B = 1/3

A/B = (1/2) / (1/3) = 3/2 multiplying numerator and denominator by 2 we get 6/4

C = 1/4

B/C = (1/3) / (1/4) = 4/3

A/B = 6/4 and B/C = 4/3

So we get A:B:C = 6:4:3

divide 10400 in the ratio 6:4:3

6+4+3 = 13

10400/13 = 800

A = 800*6 = 4800

B = 800*4 = 3200

C = 800*3 = 2400

Answer 2

Let the shares of A,B,C be x/2,x/3 and x/4 .So sum of all shares of A,B,C is 10400=> x/2+x/3+x/4 = 10400=> 6x/12 +4x/12 +3x/12 =10400=> 13x/12 =10400=> x=12(10400)/13 =12(800)= ₹9600. So shares of A,B and C are 9600/2, 9600/3 and 9600/4=> ₹4800, ₹3200, ₹2400.