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?

Answer 1

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
$$\begin{gathered} \Rightarrow 26\frac{3}{5}+50\frac{1}{2}+16\frac{2}{5}+x=160 \\ \Rightarrow \frac{133}{5}+\frac{101}{2}+\frac{82}{5}+x=160 \\ \Rightarrow \frac{266+505+164}{10}+x=160 \\ \Rightarrow \frac{935}{10}+x=160 \\ \Rightarrow x=160-\frac{935}{10} \end{gathered}$$
$$\begin{gathered} \Rightarrow x=\frac{1600-935}{10} \\ \Rightarrow x=\frac{665}{10}=₹66\frac{1}{2} \end{gathered}$$
So, the savings are ₹$66\frac{1}{2}$.