Divide Rs. 1260 among A, B and C so that the ratio between the shares of A and B is 2:3 and the ratio between the shares of B and C is 4:5.
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A+B+C= 1260-----------(c)
A:B= 2:3
THEREFORE A/B=2/3
CROSS MULTIPLY
THEREFORE 2B=3A
THEREFORE B=(3/2)A---------(a)
B:C= 4:5
THEREFORE B/C= 4/5
THEREFORE 5B=4C
THEREFORE C= (5/4)B-------(b)
NOW IF YOU REPLACE equation a in b
you get C= 5/4 × (3/2)A
WHICH IS EQUAL TO (15/8)A
THEREFORE IF YOU REPLACE EVERYTHING IN EQUATION c
you get
A+(3/2)A+(15/8)A= 1260
THEREFORE (35/8A)=1260
A=288
B= (3/2)×288
C= (15/8)×288
Hope you understand!
A:B= 2:3
THEREFORE A/B=2/3
CROSS MULTIPLY
THEREFORE 2B=3A
THEREFORE B=(3/2)A---------(a)
B:C= 4:5
THEREFORE B/C= 4/5
THEREFORE 5B=4C
THEREFORE C= (5/4)B-------(b)
NOW IF YOU REPLACE equation a in b
you get C= 5/4 × (3/2)A
WHICH IS EQUAL TO (15/8)A
THEREFORE IF YOU REPLACE EVERYTHING IN EQUATION c
you get
A+(3/2)A+(15/8)A= 1260
THEREFORE (35/8A)=1260
A=288
B= (3/2)×288
C= (15/8)×288
Hope you understand!
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