Question

the ratio of the income of two persons is 9:7, and the ratio of their expenditure is 4v3. each of them saves rs 200 yearly. find their yearly income.​

Answer 1

ANSWER:

Incomes of two persons =1800 and 1400

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STEP BY STEP EXPLANATION:

Ratio of incomes of two persons=9:7

Let their income be 9x and 7x

Ratio of their expenditure=4:3

Let their expenditure be 4y and 3y

Savings are the difference of our income and expenditure

Therefore,

For First Person

9x-4y=200................(i)

For Second Person

7x-3y=200..............(ii)

Multiplying eq (i) with 3 and eq (ii) with 4

3(9x-4y=200)

27x-12y=600.......(iii)

4(7x-3y=200)

28x-12y=800......(iv)

Subtracting eq (iii) and (iv)

28x-12y-(27x-12y)=800-600

28x-12y-27x+12y=200

x=200

Put value of x in eq (i)

9x-4y=200

9(200)-4y=200

1800-4y=200

1800-200=4y

4y=1600

$y = \frac{1600}{4}$

y=400

Incomes of two persons---------->

9x=9×200

=1800

7x=7×200

=1400

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Answer 2

Answer:

Incomes of two persons =1800 and 1400

Step-by-step explanation:

Ratio of incomes of two persons=9:7

Let their income be 9x and 7x

Ratio of their expenditure=4:3

Let their expenditure be 4y and 3y

Savings are the difference of our income and expenditure

Therefore,

For First Person

9x-4y=200................(i)

For Second Person

7x-3y=200..............(ii)

Multiplying eq (i) with 3 and eq (ii) with 4

3(9x-4y=200)

27x-12y=600.......(iii)

4(7x-3y=200)

28x-12y=800......(iv)

Subtracting eq (iii) and (iv)

28x-12y-(27x-12y)=800-600

28x-12y-27x+12y=200

x=200

Put value of x in eq (i)

9x-4y=200

9(200)-4y=200

1800-4y=200

1800-200=4y

4y=1600

y=400

Incomes of two persons---------->

9x=9×200

=1800

7x=7×200

=1400

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silentlover45.❤️