Ratio of income of A and B is 6:5 ratio of their expenditure is 3:2 ,if B saves 1/4th of his income ,find ratio of their savings?
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3:10
let the 6:5 is taken as 24 and 20,then 1/4 saves B is ba saves 5.is B's expenditure is 15...
but the expenditure ratio is 3:2 ie 2x =15,x=7.5 so the expenditure of A is 7.5*3 22.5 ,so A's saving is 24-22.5=1.5 so the saving of A:b is 1.5/5 ie 3:10
Last step of Kumar's answer is wrong.
Ratio of savings of A and B = (y/5)/(2y/3) = 3:10
Let Income of A = 6x
Income of B = 5x
Let expenditure of A = 3y
Expenditure of B = 2y
Now,
Saving of A = 6x -3y ----------------- (1)
Saving of B = 5x - 2y ---------------(2)
According to question,
Saving of B = 1/4*(5x)
5x -2y = 5x/4
x = 8y/15 ------------ (3)
Using the value of equation 3 in equation (1) and (2).
Saving of A = 6*(8y/15)-3y = y/5 ------- (4)
Saving of B = 5*(8y/15)- 2y = (2y/3) ------ (5)
Ratio of savings of A and B = (y/5)/(2y/5)= 1:2