Question

A family’s ratio of savings sto expenditure for last month was 2:13. This month, due to unforeseen expenditure, savings fell to 50% of the amount saved last month. Salary ,last month was Rs.15,000. This month there was an increase of 15% in the salary.How much did the family spend this month?​

Answer 1

Given :-

• A family’s ratio of savings to expenditure for last month was 2:13.
• This month, due to unforeseen expenditure, savings fell to 50% of the amount saved last month.
• Salary of last month was Rs.15,000.
• This month there was an increase of 15% in the salary.

To Find :-

• How much did the family spend this month ?

Solution :-

Given that,

→ Salary of Last Month was = Rs.15000

and,

→ Ratio of savings to expenditure for last month was = 2:13.

So,

→ Saving + Expenditure = Total salary.

→ 2 + 13 = 15000

→ 15 unit = 15000

→ 1 unit = 1000

Than,

→ Saving = 2 unit = Rs.2000 = Saving of Last Month .

→ Expenditure = 13 unit = Rs.13000 = Expenditure of Last Month.

__________

Now,

This month there was an increase of 15% in the salary.

So,

→ Salary of this month = Last month salary + 15% of Last month salary .

→ Salary of this month = 15000 + 15% of 15000

→ Salary of this month = 15000(100% + 15%)

→ Salary of this month = ( 15000 * 115 )/ 100

→ Salary of this month = 150 * 115

→ Salary of this month = Rs.17,250 .

Also,

This month, due to unforeseen expenditure, savings fell to 50% of the amount saved last month.

So,

→ Saving of this month = 50% of the amount saved last month.

→ Saving of this month = Half of the amount saved last month.

→ Saving of this month = (1/2) of 2000

→ Saving of this month = Rs.1000 .

Therefore,

→ Expenditure this month = Salary of this month - Saving of this month

→ Expenditure this month = 17250 - 1000

→ Expenditure this month = Rs.16,250 . (Ans.)

Hence, the family spend Rs.16,250 this month.