Question

If the cost of a notebook is Rs $7\frac{3}{4}$, how many notebooks can be purchased for Rs $69\frac{3}{4}$ ?

Answer 1

Cost of 1 notebook = Rs $7\frac{3}{4}$ = Rs $\frac{31}{4}$
∴ Number of notebooks purchased for Rs $69\frac{3}{4}$ = $\left(69\frac{3}{4}÷\frac{31}{4}\right)$
=$\left(\frac{279}{4}÷\frac{31}{4}\right)$
=$\left(\frac{279}{4}\times \frac{4}{31}\right)$ [∵ Reciprocal of $\frac{31}{4}$ =$\frac{4}{13}$]
=$\left(\frac{279}{31}\right)$ = 9
Hence, 9 notebooks can be purchased for Rs $69\frac{3}{4}$.