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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.

Sagot :

semsee45

Answer:

a) £600

b) £1400

Step-by-step explanation:

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

Let x = original price

⇒ £420 : 70 = £x : 100%

[tex]\sf \implies 420 : 70 = x : 100[/tex]

[tex]\sf \implies \dfrac{420}{70}=\dfrac{x}{100}[/tex]

[tex]\sf \implies x=100\cdot\dfrac{420}{70}[/tex]

[tex]\sf \implies x=600[/tex]

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%

[tex]\sf \implies 840 : 60 = x : 100[/tex]

[tex]\sf \implies \dfrac{840}{60}=\dfrac{x}{100}[/tex]

[tex]\sf \implies x=100\cdot\dfrac{840}{60}[/tex]

[tex]\sf \implies x=1400[/tex]

Therefore, the original price of the ring was £1400

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