Question

The ratio of the income and savings of a family is 15:4. If the saving is Rs. 2800, then the expenditure is:
a) Rs. 13500
(b) Rs. 10500
(c) Rs.7700
(d) Rs. 9000​

Answer 1

$\LARGE{ \underline{\underline{ \pink{ \bf{Required \: answer:}}}}}$

GiveN:

• Ratio of income to savings = 15 : 4
• The savings = Rs. 2800

To FinD:

• The expenditure?

Step-wise-Step Explanation:

According to question, the value of the savings is given and from here we can find the income.

⇒ $\rm{ \dfrac{15}{4} = \dfrac{Income}{Rs. 2800} }$

Isolating 'Income' in any one side. This can be done by cross multiplication:

⇒ $\rm{Income = \dfrac{15 \times Rs. 2800}{4} }$

⇒ $\rm{Income = Rs.\: 10500}$

Now we have got the income. Finding expenditure:

⇒ Expenditure + savings = Income

⇒ Expenditure = Income - Savings

⇒ Expenditure = Rs. 10500 - Rs. 2800

⇒ Expenditure = Rs. 7700

The total expenditure of the family is Rs. 7700 (C)

Answer 2

Step-by-step explanation:

Given :

• The ratio of the income to the savings of a family is “15 : 4” .

• The Saving is “Rs.2800” .

To Find :

• what is the expenditure

Solution :

$: \implies\: \: \: {\sf{Income\::\:Saving\:=\:15\::\:4\:}}$

$:\implies\:\:\:\:\:\:{\sf{\dfrac{Income}{Saving}\:=\:\dfrac{15}{4}\:}}$

$: \implies\: \: \: \: \: {\sf{Income\:=\:\dfrac{15}{4}\times{Saving}\:}}$

$: \implies\: \: \: \: \: \: {\sf{Income\:=\:\dfrac{15}{ \cancel{4}}\times{ \cancel{2800}}\:}} \\ \\ \\ : \sf \: \implies\: \: \: \: \: \:income \: = 15 \times 700 \\ \\ \\ : \sf \: \implies\: \: \: \: \: \:income \: = 10500$

Expenditure = Income - Saving

$\sf : \implies \: \: \: \: \: \: \: \: Expenditure = Rs. (10500 - 2800) \\ \\ \\ </p><p></p><p>\sf : \implies \: \: \: \: \: \: \: \: \: Expenditure = Rs.7700$

The expenditure is Rs.7700 .