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Question

Answer

a. Let X be the original price of the fan.

(0.8X + 0.5X) x 1.07 = $222.56

1.07(1.3X) = $222.56

X = $222.56/1.391 = $160

b. *Corrected*

Original price of 2 fans = 2 x $160 = $320

Discounted price of 2 fans before GST = $222.56/1.07 = $208

Overall discount = ($320 – $208) /$320 x 100 % = 35%

 

1 Reply 1 Like

Thanks very much Chiefkiasu ! 

But the answer key says 35% is the answer for b. 

Pls advise ! 

 

Thank u !

Fly2High

1 Reply 0 Likes

Is the answer for (a) in the answer key $160?  Or something else?

1 Reply 0 Likes

Hi Chiefkiasu, 

Answer for a) is 160 only . 

Thanks

Fly2High

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Well, working backwards, if the original price of each fan is $160 and the overall discount is 35%, then the discounted price should be 65% of $320 which is $208, which does not match the $222.56 that Mr Tan paid.

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$222.56 is the price AFTER GST.

The discounted price before GST is 222.56/1.07 = 208

(320 – 208)/320 x 100 = 35%

1 Reply 1 Like

Oh my goodness.  I forgot about the gst completely!  Thanks BigDevil for solving this mystery.

1 Reply 0 Likes

Thanks very much Chiefkiasu and BigDevil !!

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