Question

In a charity show Rs 6496 were collected by selling some tickets. If the price of each ticket was Rs $50\frac{3}{4}$, how many tikets were sold?

Answer 1

Number of tickets sold = $\frac{\mathrm{Total}\mathrm{amount}\mathrm{of}\mathrm{money}\mathrm{collected}}{\mathrm{Price}\mathrm{of}\mathrm{one}\mathrm{ticket}}$
Price of one ticket:

$$\begin{gathered} 50\frac{3}{4}\Rightarrow \frac{(50\times 4)+3}{4} \\ \Rightarrow \mathrm{Rs}\frac{203}{4} \end{gathered}$$

Number of tickets sold = $6496÷\frac{203}{4}$
$$\begin{gathered} \Rightarrow \cancel{{6496}^{32}}\times \frac{4}{\cancel{203}} \\ \Rightarrow 128 \end{gathered}$$