Question

The ratio of income to the saving of a family 13:4 find the expenditure if the saving is ₹2700​

Answer 1

Answer:

Expenditure of a family is Rs. $6075$.  

Step-by-step explanation:

Given : The ratio of income to the saving of a family = $13:4$

           Savings of the family = Rs. $2700$

To find : The expenditure of the family.

Solution :

• It is given that the ratio of income to the saving of a family = $13:4$

           Savings of the family = Rs. $2700$

• We have to find the expenditure of the family.
• Let, $x$ be the income of the family.
• Now, according to given data, the ratio becomes

          $\frac{13}{4} =\frac{x}{2700}$

• By cross multiplication, we get

        ∴ $13*2700=4x$

                ∴ $4x=35100$

                ∴ $x=\frac{35100}{4}$

                ∴ $x=8775$

• ∴ Income of a family is Rs. $8775$.
• The expenditure of a family can be found out by,

      Expenditure = Income - Savings

                        = $8775-2700$

                        = Rs. $6075$

• ∴ Expenditure of a family is Rs. $6075$.  

Answer 2

Answer:

The expenditure of the family is ₹ 6075.

Step-by-step-explanation:

We have given that,

The ratio of income to the saving of a family is 13 : 4.

Let the common multiple be x.

∴ Income of family = 13x

Saving of family = 4x

We have to find the expenditure of family if the saving is ₹ 2700.

We know that,

Saving = Income - Expenditure

⇒ 4x = 13x - Expenditure

⇒ Expenditure = 13x - 4x

⇒ Expenditure = 9x

⇒ Expenditure = 4x + 5x

⇒ Expenditure = Saving + 5x

⇒ Expenditure = 2700 + 5x

⇒ Expenditure = 5x + 2700 - - - ( 1 )

Now,

Saving of family = ₹ 2700

⇒ 4x = 2700

⇒ x = 2700 ÷ 4

⇒ x = 675

By substituting x = 675 in equation ( 1 ), we get,

Expenditure = 5x + 2700 - - - ( 1 )

⇒ Expenditure = 5 * 675 + 2700

⇒ Expenditure = 3375 + 2700

⇒ Expenditure = ₹ 6075

∴ The expenditure of the family is ₹ 6075.