Question

Hi ,

pls help on this question.

thanks very much !

Fly2High

Source: Henry Park Primary

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.

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

1 Reply 0 Likes

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.

1 Reply 0 Likes

\$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 !!

0 Replies 0 Likes