Question

A diamond ring which normally sells for $1180 is on sale for $1062. What is the amount of discount? What is the rate of discount? What is the amount of discount?

Answer 1

The amount of discount is equal to

`1180-1062=118`

that is, the amount is $118.

Now, let x be the rate of discount, then we have

`1180(1-(x)/(100))=1062`

then, we have

`\begin{gathered} (1-(x)/(100))=(1062)/(1180) \\ (1-(x)/(100))=0.9 \end{gathered}`

If we move 1 to the right hand side, we get

`\begin{gathered} -(x)/(100)=0.9-1 \\ (x)/(100)=0.1 \\ x=0.1*100 \\ x=10 \end{gathered}`

that is, the rate od discount is 10%