Question

a jewelry store is having a sale. A ring is now reduced to £840. This is a saving of 40% of the original price. Work out the original price of the ring.

Answer 1

£1400

A reduction of 40% means that £840 is 60% of the original price

Divide £840 by 60 to find 1% then multiply by 100 to find original price

original price = £840 ×
`(100)/(60)` = £1400

Answer 2

$1400

Explanation:

Given: A ring cost $840 after a discount of 40% on the original price of the ring.

To find: Original price of the ring

Solution:

Let the original price of the ring be $x

It is given that a discount of 40% on the original price of the ring. So, we have

`x-(40)/(100)* x=840`

`\implies x-(2x)/(5) =840`

`\implies(5x-2x)/(5) =840`

`\implies(3x)/(5) =840`

`\implies x=(840*5)/(3)`

`\implies x=280*5`

`\implies x=1400`

Hence, the original price of the ring is $1400.