Question

The ratio of income in two consecutive years is 2:3 respectively. The ratio of their expenditure is 5:9. Income of second year is rs 45000 and expenditure of 1st year is rs 25000. Savings in both years together is

Answer 1

Answer:

5000

Step-by-step explanation:

The ratio for income is 2:3

This means, (income 1) : (income 2) = 2 : 3

Income 2 is given as 45000

Income 1 / Income 2 = 2 / 3

Income 1 / 45000 = 2 / 3

Income 1 = (45000 × 2) / 3

Income 1 = 15000 × 2

Income 1 = 30000

Now, coming to expenditure:

Ration is 5 : 9 or 5 / 9

Expenditure 1 : Expenditure 2 = 5 : 9

Expenditure 1 is given as 25000

25000 / Expenditure 2 = 5 / 9

Expenditure 2 = (25000 × 9)/5

Expenditure 2 = 45000

____________________________________________

Saving = Total income - Expenditure.

For the first year, the income was 30000 and the expenditure was 25000

Saving = 30000 - 25000

Saving = 5000

For the second year, the income was 45000 and the expenditure was 45000

Saving = 45000 - 45000

Saving = 0

The saving for 1st year was 5000 and there was no saving in the second year. So, the total saving was 5000.

Answer 2

Question :

The ratio of income in two consecutive years is 2:3 respectively. The ratio of their expenditure is 5:9. Income of second year is rs 45000 and expenditure of 1st year is rs 25000. Find the savings in both years together .

Answer :

The savings of two years altogether is Rs.5000

Given :

The ratio of income in two consecutive years is 2:3

The ratio of expenditure is 5:9

Income of second year = Rs. 45000

Expenditure of first year = Rs. 25000

To find :

The savings in both years together

Solution :

Let income in the first year be Rs. x and the expenses in the second year be Rs. y

According to the problem,

=> x/45000=2/3

and

25000÷y=5÷9

⇒x = 2×45000/3=30000

and

y=25000×9/5=45000

∴ Total savings for 2 years :

= Rs. [(30000 - 25000) + (45000 - 45000)]

= Rs. 5000

Hence, the savings of two years altogether is Rs.5000

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