Question

Form the linear equation for the following and then solve.

Raja spends rupees $x$ daily and save rupees $100$ daily. If his monthly income is rupees $9000$, find his monthly expenditure(assume that there are $30$ days in a month).

Answer 1

STEP 1: To find the required equation.

As per question,

Raja spends rupees $x$ daily .

Therefore, Raja spends rupees $x\times 30=30x$ monthly.

Similarly, he save rupees $100$ daily.

Therefore, he saves rupees $100\times 30=3000$ monthly.

If his monthly income is rupees $9000$,

Then, required equation is $30x+3000=9000$.

STEP 2: To find the solution of $30x+3000=9000$.

Transposing $3000$ to the R.H.S,

$30x=9000-3000$..

$30x=6000$.

on isolating $x$ ,

$x=\frac{6000}{30}$

$x=200$

Thus, $x=200$ is the solution of $30x+3000=9000$.

Hence, Raja's monthly expenditure is $x\times 30$$=200\times 30=\mathrm{Rs}.6000$.