PSLE
A shop 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.

1. Dana's books were priced at $18 and $19. How much did she pay for them?
2. Fabian paid a total of $53.05 for his two books. He paid $13.45 more for the 1st book than the 2nd book. What was the price of the 2nd book before discount? 

	1st book	2nd book	Total amount
Original price	100% $19	100% $18
Discount	- 5%	- 40%
Sale price	95%	60%	?

(a)
Selling price of the 1st book
= 95% x 19
= ⁹⁵₁₀₀ x 19
= $18.05

Selling price of 2nd book
= 60% x 18
= ⁶⁰₁₀₀ x 18
= $10.80

Total amount that Dana paid
= 18.05 + 10.80
= $28.85

	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 + $13.45	1 u	$53.05

(b)
Sale price of the 1st book = 1 u + 13.45
Sale price of the 2nd book = 1 u

Total amount that Fabian paid
= 1 u + 13.45 + 1 u
= 2 u + 13.45

2 u + 13.45 = 53.05
2 u = 53.05 - 13.45
2 u = 39.60

1 u = 39.60 ÷ 2 = 19.80

Sale price of the 2nd book = $19.80

60% of the price = $19.80
100% of the price = ^19.80₆₀ x 100 = $33

Selling price of the 2nd book before discount = $33

Answer(s): (a) $28.85; (b) $33