Question

the ratio of the family income to the expenditure of a family is 7:6. find the saving if the income is 21000​

Answer 1

Answer : Rs. 3000

$\rule{100}2$

Given :

• Ratio of the family income to the expenditure = 7 : 6
• Income = ₹ 21000

To Find :

• The savings

SolUtion :

If the ratio of income to the expenditure is 7 : 6

Then, it is obvious that the ratio of income to savings will be = 7 : 1

Now,

Expenditure :

$\sf = 6\times \dfrac{21000}{7}$

$\sf =6\times  \cancel{\dfrac{2100}{7}}$

$\sf = 6\times 3000$

$\sf = Rs.18000$

Savings :

$\tt Savings = \:Income-Expenditure$

$\sf Savings = Rs. 21000 - Rs. 18000$

$\sf Savings = Rs. 3000$

Hence,

Savings of the family is Rs. 3000.

$\rule{200}2$

Answer 2

Question :

The ratio of the family income to the expenditure of a family is 7:6. Find the saving if the income is Rs 21000.

Solution :

$\underline{\bold{Given:}}$

• Income to the expenditure of the family in the ratio = 7:6
• The income of the family = Rs 21000

$\underline{\bold{To\:Find:}}$

• The saving of the family.

It is given that income and expenditure are in the ratio and income is given .

Let the income and expenditure be Rs 7x and Rs 6x.

$\therefore{7x=21000}$

$\implies 7x=21000\\\implies x=\frac {21000}{7}\\\implies x=3000$

$\therefore {Expenditure =Rs\: (6\times 3000)=Rs\:18000}$

$\rule{194}{1}$

$\fbox {\purple {Saving =Income-Expenditure }}$

$\implies Saving =Income-Expenditure\\\implies Saving =Rs\:(21000-18000)\\\implies Saving = Rs\:3000$

$\boxed {\green{\therefore {The\:saving\:of\:the\:family \:is\:Rs\:3000.}}}$