Question

20. The incomes of A and B are in the ratio 9 : 4and their expenditures are in the ratio 7:3 . If each saves 1800 ₹ then total income of A is​

Answer 1

Answer:

72000 and 32000

Step-by-step explanation:

Here incomes are in 9x:4x ratio…. and expenditure are in 7y:3y ratio ... And they save 2000…

Now from above…. 9x-7y =4x-3y=2000….eq(1)

I.e., 5x=4y… x=(4/5)y…eq(2)

Now replace equal(2) in equal(1)

I.e., 4(4/5)y-3y=2000..

(16y/5)-3y=2000

16y-15y=10000

Y=1000….Eq(3)

Replace eq(3) in equal(2)

X=(4/5)10000

X=8000

Now their incomes are in ratio 9x:4x…

So replace x value here….

So their incomes will be 72000 and 32000

Answer 2

Answer:

a's income is 72000

Step-by-step explanation:

Here incomes are in 9x:4x ratio…. and expenditure are in 7y:3y ratio ... And they save 2000…

Now from above…. 9x-7y =4x-3y=2000….eq(1)

I.e., 5x=4y… x=(4/5)y…eq(2)

Now replace equal(2) in equal(1)

I.e., 4(4/5)y-3y=2000..

(16y/5)-3y=2000

16y-15y=10000

Y=1000….Eq(3)

Replace eq(3) in equal(2)

X=(4/5)10000

X=8000

Now their incomes are in ratio 9x:4x…

So replace x value here….

So their incomes will be 72000 and 32000