On one day a rickshaw puller earned Rs 160. Out of his earnings he spent Rs

Question:

On one day a rickshaw puller earned Rs 160 . Out of his earnings he spent Rs $26 \frac{3}{5}$ on tea and snacks, Rs $50 \frac{1}{2}$ on food and Rs $16 \frac{2}{5}$ on repairs of the rickshaw. How much did he save on that day?

Solution:

Total earning $=$ ₹ 160

Money spent on tea and snacks $=₹ 26 \frac{3}{5}$

Money spent on food $=₹ 50 \frac{1}{2}$

Money spent on repairs $=₹ 16 \frac{2}{5}$

Let the savings be ₹x.

Money spent on tea and snacks + Money spent on food + Money spent on repairs + Savings = Total earning

So, $26 \frac{3}{5}+50 \frac{1}{2}+16 \frac{2}{5}+x=160$

$\Rightarrow 26 \frac{3}{5}+50 \frac{1}{2}+16 \frac{2}{5}+x=160$

$\Rightarrow \frac{133}{5}+\frac{101}{2}+\frac{82}{5}+x=160$

$\Rightarrow \frac{266+505+164}{10}+x=160$

$\Rightarrow \frac{935}{10}+x=160$

$\Rightarrow x=160-\frac{935}{10}$

$\Rightarrow x=\frac{1600-935}{10}$

$\Rightarrow x=\frac{665}{10}=$ ₹ $66 \frac{1}{2}$

So, the savings are ₹66 $\frac{1}{2}$.