Question

FIRST TO ANSWRR GETS 30 POINTS!

A jewellery shop is having a sale.

A bracelet is now reduced to £420.
This is 70% of the original price.

a) Work out the original price of the bracelet.

A ring is now reduced to £840.
This is a saving of 40% of the original price.

b) Work out the original price of the ring.

Answer 1

a) £600

b) £1400

Explanation:

a) Set up a ratio of price to percentage of original price.

Let x = original price

⇒ £420 : 70 = £x : 100%

`\sf \implies 420 : 70 = x : 100`

`\sf \implies (420)/(70)=(x)/(100)`

`\sf \implies x=100\cdot(420)/(70)`

`\sf \implies x=600`

Therefore, the original price of the bracelet was £600

b) Set up a ratio of price to percentage of original price.

If the ring is reduced by 40% then it is now 60% of the original price, since 100% - 40% = 60%

Let x = original price

⇒ £840 : 60% = £x : 100%

`\sf \implies 840 : 60 = x : 100`

`\sf \implies (840)/(60)=(x)/(100)`

`\sf \implies x=100\cdot(840)/(60)`

`\sf \implies x=1400`

Therefore, the original price of the ring was £1400