Question

Rohit earns Rs 15300 and saves Rs 1224 per month. Find the ratio of
(i) his income and savings:
(ii) his income and expenditure;
(iii) his expenditure and savings.

Answer 1

Given:
- Rohit's Income = ₹ 15,300
- Rohit's Savings = ₹ 1,224

Rohit's expenditure can be calculated by subtracting his savings from his income.

Expenditure = Income − Savings 

₹ 15,300 − ₹ 1,224 = ₹ 14,076

Ratio of Income to Savings = `"Income"/"Savings" = 15300/1224`

`(15300 ÷ 612)/(1224 ÷ 612) = 25/2`

Thus, the ratio of Rohit's income to his savings is: 

Income : Savings = 25 : 2

Next, we find the ratio of Rohit's income to his expenditure:

Ratio of Income to Expenditure = `"Income"/"Expenditure"`

= `15300/14076`

The GCD of 15300 and 14076 is also 612.

`(15300 ÷ 612)/(14076 ÷ 612) = 25/23`

Thus, the ratio of Rohit's income to his expenditure is:

Income : Expenditure = 25 : 23

Finally, we find the ratio of Rohit's expenditure to his savings:

Ratio of Expenditure to Savings = `"Expenditure"/"Savings"`

= `14076/1224`

The GCD of 14076 and 1224 is again 612.

`(14076 ÷ 612)/(1224 ÷ 612) = 23/2`

Thus, the ratio of Rohit's expenditure to his savings is:

Expenditure : Savings = 23 : 2

Income : Savings = 25 : 2
Income : Expenditure = 25 : 23
Expenditure : Savings = 23 : 2