Answered

Discover answers to your questions with Westonci.ca, the leading Q&A platform that connects you with knowledgeable experts. Find reliable answers to your questions from a wide community of knowledgeable experts on our user-friendly Q&A platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

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.

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

Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.