PSLE
A bookstore is having a book sale.

The 1st book is at 5% discount.
The 2nd book is at 40% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.

Fiona and Gabriel each bought two books at the sale.

1. Fiona's books were priced at $14 and $28. How much more did she pay for the 1st book than the 2nd book? 
2. Gabriel paid a total of $29.30 for his two books. He paid $12.50 less for the 2nd book than for the 1st book. What was the price of the 1st book before discount? 

	1st book	2nd book	Total amount
Original price	100% $28	100% $14
Discount	- 5%	- 40%
Sale price	95%	60%	?

(a)
Selling price of the 1st book
= 95% x 28
= ⁹⁵₁₀₀ x 28
= $26.60

Selling price of 2nd book
= 60% x 14
= ⁶⁰₁₀₀ x 14
= $8.40

Amount that Fiona paid more for the 1st book than the 2nd book
= 26.60 - 8.40
= $18.20

	1st book	2nd book	Total amount
Original price	100%	100%
Discount	- 5%	- 40%
Sale price	95%	60%
Compare 1st book and 2nd book	1 u + $12.50	1 u	$29.30

(b)
Sale price of the 1st book = 1 u + 12.50
Sale price of the 2nd book = 1 u

Total amount that Gabriel paid
= 1 u + 12.50 + 1 u
= 2 u + 12.50

2 u + 12.50 = 29.30
2 u = 29.30 - 12.50
2 u = 16.80

1 u = 16.80 ÷ 2 = 8.40

Sale price of the 1st book
= 1 u + 12.50
= $20.90

95% of the price = $20.90
100% of the price = ^20.90₉₅ x 100 = $22

Selling price of the 1st book before discount = $22

Answer(s): (a) $18.20; (b) $22