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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.

Respuesta :

£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 × [tex]\frac{100}{60}[/tex] = £1400


aachen

Answer:

$1400

Step-by-step 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

    [tex]x-\frac{40}{100}\times x=840[/tex]

[tex]\implies x-\frac{2x}{5} =840[/tex]

[tex]\implies\frac{5x-2x}{5} =840[/tex]

[tex]\implies\frac{3x}{5} =840[/tex]

[tex]\implies x=\frac{840\times5}{3}[/tex]

[tex]\implies x=280\times5[/tex]

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

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

Q&A Education