Hi ,

pls help on this question.

thanks very much !

Fly2High

Source: Henry Park Primary

Hi ,

pls help on this question.

thanks very much !

Fly2High

Source: Henry Park Primary

ChiefKiasu

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%

Fly2high

Thanks very much Chiefkiasu !

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

Pls advise !

Thank u !

Fly2High

ChiefKiasu

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

Fly2high

Hi Chiefkiasu,

Answer for a) is 160 only .

Thanks

Fly2High

ChiefKiasu

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.

BigDevil

$222.56 is the price AFTER GST.

The discounted price before GST is 222.56/1.07 = 208

(320 – 208)/320 x 100 = 35%

ChiefKiasu

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

Fly2high

Thanks very much Chiefkiasu and BigDevil !!