Question

the ratio of incomes of A and B one year ago is 3:2 the ratio of increased income to original income of A is 2 : 3 and that of B is 3 : 4 .the total present income of a and b together is 21500 so find out the income of B​

Answer 1

Answer:

8000

Step-by-step explanation:

The ratio of incomes of A and B one year ago is 3:2

Let say A income one year ago  = 6x

Then B income one year ago  = 4x

as ratios mentioned are less than 1 so assuming ratio is for increase in income

ratio of increased income to original income of A is 2 : 3

=> increase in  income of  A= 4x

=>  New income of A = 6x + 4x = 10x

ratio of increased income to original income of B is 3 : 4

=> increase in  income of  B= 3x

=>  New income of B = 4x + 3x = 7x

Total new income = 10x + 7x = 17x

Income of B  =   (7x/17x)  * 21500  = 8,853

Now if Assuming that Ratios are written reverses then

increased income to original income of A  3 :2

increased income to original income of B  4 :3

let say income one year ago of A = 18x  & B = 12x

=> A new income = 27x   &  B New income = 16x

Total income = 43x

B income = (16x/43x) * 21500 = 8000

Answer 2

Answer:

8000

Step-by-step explanation:

Initial income ratio of A and B is 3:2=3x:2x

Increased income of A is 2:3

that means for every 2 parts,there will be increase in 3 parts of original salary

i.e,1part=3/2,

Therefore, A's present income=3parts=(3*3/2)*X=9x/2

similarly,

Increased income of B is 3:4

i.e,1part=4/3,

Therefore,B's present income=2 parts=(2*4/3)*X=8x/3

given that present income of A and B is 21500 rupees

i.e,A+B=21500

(9x/2)+(8x/3)=21500

X=(21500*6)/43

X=3000

therefore,

present income of B is (8*3000)/3=8000 rupees.