Question

The cost of a fan and a watch is Rs. $3600$. If the cost of watch is $7$ times the cost of fan, find the cost of the fan.

Answer 1

Given: The cost of a fan and a watch is Rs. $3600$ and the cost of watch is $7$ times the cost of fan.

Let cost of the fan be Rs. $\mathrm{p}$

So, cost of the watch $=7\mathrm{p}$

$$\begin{gathered} \Rightarrow \mathrm{p}+7\mathrm{p}=3600 \\ \Rightarrow 8\mathrm{p}=3600 \\ \Rightarrow \mathrm{p}=\frac{3600}{8} \\ \Rightarrow \mathrm{p}=\frac{{\displaystyle \stackrel{450}{\cancel{3600}}}}{\cancel{8}} \\ \Rightarrow \mathrm{p}=450 \end{gathered}$$

Hence, the cost of the fan is Rs. $450$.