Question

A man earns 2500 rupees per week and saves 1000 rupees per week. Find the ratio of his expenditures to savings.

Answer 1

Hint: In this question we have to find the ratio of expenditures to savings of the man and we are given with his weekly payments along with his weekly savings. First of all we are going to find the expenditure and savings of the man and then we will find the ratio of them. By using the formula we can find the expenditures of the man, the formula is \[Payment=Savings+Expenditures\] after putting the known values we can find the value of expenditures.

Complete step by step solution:
In this question we are given the weekly payment of the man along with his weekly savings and we have to calculate the ratio of expenditures to savings, done by this man. First we need to find the value of expenditures as the value of savings is given in the question along with the salary of the man.
Now we need to memorize the relation or formula to evaluate expenditures when the amount of savings and payment or salary of a person is given,
The formula which relates these three things is, \[Payment=Savings+Expenditures\]
We need to evaluate the amount of expenditures for which the formula modifies to the following form, which is,
\[Expenditures=Payment-Savings\]
By putting the known values in the formula, we get,
\[Expenditures=2500-1000\]
\[Expenditures=1500\]
Hence the amount of expenditures comes out to be 1500 rupees.
Now moving forward in the question we have to find the ratio of expenditure to the savings, which is,
\[\dfrac{Expenditures}{Savings}=\dfrac{1500}{1000}\]
\[\dfrac{Expenditures}{Savings}=\dfrac{3}{2}\]
We can also represent the ratio as,
\[Expenditures:Savings=3:2\]
Hence the ratio of expenditures to the savings comes out to be \[3:2\].

Note: Remember the formula of relation between salary or payment, savings and expenditures. Sometimes you might have to find the value of a particular quantity when there are three quantities given in the question and two of which are represented in two different ratios for two different scenarios related together and in that question you have to form equations of the quantities such that one equation is made by using only one quantity represented by two different variables which we get by converting the ratios separately to simple amounts by multiplying the numerator and denominator by that variable, as mentioned above to form equations, whose value is to be find. Remember the numerator is that quantity which is mentioned first such as in this question ratio of expenditure to savings, so expenditure will come in numerator and savings will come in denominator.