Question

The ratio of income of A, B, C is 4:5:7. The ratio of expenditure is 7:8:9. saving of B is 12.5% of its income. Then the ratio of their savings?​

Answer 1

Answer:

Step-by-step explanation:

let the income of A, B and C are 7x, 9x and 12x respectively

=> and expenditure of A, B and C are 8y, 9y and 15y respectively

=> income of A×14= saving of A (given)

=> 7x - 8y = 7x×14

=> 28x - 32y = 7x

=> 21x = 32y

x : y

=> 32 : 21

∴ The ratio of savings of A, B and C

=> (7x - 8y) : (9x - 9y) : (12x - 15y)

=> (7×32−8×21):(9×32−9×21):(12×32−15×21)

=> (224 - 168) : (288 - 189) : (384 - 315)

56 : 99 : 69

Answer 2

The ratio of savings of A, B and C are 11:40:133 respectively.

Given:

• The ratio of income of A, B, C is 4:5:7.
• The ratio of expenditure is 7:8:9.
• Saving of B is 12.5% of its income.

To find:

• Find the ratio of their savings.

Solution:

Step 1:

Let the common factor of income of A,B,C is x.

So,

The incomes of A,B and C are 4x, 5x and 7x respectively.

Let the common factor of expenditure of A,B and C is 'y'.

So,

The expenditure of A,B and C are 7y, 8y and 9y respectively

Step 2:

Find the common factor of income and expenditure.

ATQ,

Saving of B is 12.5% of its income.

$5x - 8y = 5x \times 12.5\%$

$5x - 8y = 5x \times \frac{125}{1000}$

$5x - 8y = \frac{5x}{8}$

$40x - 64y = 5x$

$35x = 64y$

$\bf x : y = 64 :35$

Thus,

The common factor of income and expenditure are 64 and 35 respectively.

Step 3:

Calculate the ratio of savings.

Saving of A:Saving of B: Saving of C

$4x - 7y: 5x - 8y:7x - 9y$

$(4 \times 64 - 7 \times 35): (5 \times 64 - 8 \times 35):(7\times 64 - 9 \times 35)$

$11:40:133$

Thus,

Ratio of savings of A, B and C are 11:40:133 respectively.

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