Question

On one day a rickshaw puller earned \[{\text{Rs}}.80\] . Out of his earning he spent \[{\text{Rs}}.13\dfrac{3}{5}\] on tea and snacks, \[{\text{Rs}}.25\dfrac{1}{2}\] on food and \[{\text{Rs}}.4\dfrac{2}{5}\] on repairs of the rickshaw. How much did he save on that day?

Answer 1

Hint: One day rickshaw puller earned rupees 80. On the same day he spent some money on tea and snacks, on food and on repair of the rickshaw. We calculate the total amount spent by him and subtract with his total amount earned we get the amount saved by him on that day. Note that the amount spent is in a mixed fraction; we need to convert it into a proper fraction.

Complete step-by-step answer:
Given,
Total amount earned by a Rickshaw puller on one day \[ = {\text{Rs}}.80\]
Earning spent on tea and snack \[ = {\text{Rs}}.13\dfrac{3}{5}\]
Earning spent on food \[ = {\text{Rs}}..25\dfrac{1}{2}\]
Earing spent on repair \[{\text{ = Rs}}.4\dfrac{2}{5}\]
Total amount spent= Earning spent on tea and snack \[ + \] Earning spent on food \[ + \] Earing spent on repair.
Total amount spent \[ = 13\dfrac{3}{5} + 25\dfrac{1}{2} + 4\dfrac{2}{5}\]
Converting this mixed fraction into improper fraction.
 \[ =\dfrac{{(13 \times 5) + 3}}{5} + \dfrac{{(25 \times 2) + 1}}{2} + \dfrac{{(4 \times 5) + 2}}{5}\]
 \[ =\dfrac{{65 + 3}}{5} + \dfrac{{50 + 1}}{2} + \dfrac{{20 + 2}}{5}\]
 \[ =\dfrac{{68}}{5} + \dfrac{{51}}{2} + \dfrac{{22}}{5}\]
We know L.C.M. of 5 2 and 5 is 10.
 \[ =\dfrac{{(65 \times 2) + (51 \times 5) + (22 \times 2)}}{{10}}\]
 \[ =\dfrac{{130 + 255 + 44}}{{10}}\]
 \[ =\dfrac{{429}}{{10}}\]
Simple division.
 \[ =42.9\]
That is the total amount spent by him is Rs. 42.9
Now to find his savings,
Total savings = total amount earning – total amount spent
 \[ =80 - 42.9\]
 \[ =37.1\]
Hence, the total saving is Rs. 37.1
So, the correct answer is “37.1”.

Note: If you know the simple formula, Total savings = total amount earning – total amount spent. We can solve any problem. They can ask us to find the total amount earned by giving the amount spent and saving amount or find the total amount by giving the amount saved and amount earned. Carefully observe what they are asking.