PSLE
A store is having a book sale.

The 1st book is at 5% discount.
The 2nd book is at 35% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.

Kimberly and Daniel each bought two books at the sale.

1. Kimberly's books were priced at $32 and $33. How much did she pay for them?
2. Daniel paid a total of $58.85 for his two books. He paid $13.35 less for the 2nd book than the 1st book. What was the price of the 2nd book before discount? 

	1st book	2nd book	Total amount
Original price	100% $33	100% $32
Discount	- 5%	- 35%
Sale price	95%	65%	?

(a)
Selling price of the 1st book
= 95% x 33
= ⁹⁵₁₀₀ x 33
= $31.35

Selling price of 2nd book
= 65% x 32
= ⁶⁵₁₀₀ x 32
= $20.80

Total amount that Kimberly paid
= 31.35 + 20.80
= $52.15

	1st book	2nd book	Total amount
Original price	100%	100%
Discount	- 5%	- 35%
Sale price	95%	65%
Compare 1st book and 2nd book	1 u + $13.35	1 u	$58.85

(b)
Sale price of the 1st book = 1 u + 13.35
Sale price of the 2nd book = 1 u

Total amount that Daniel paid
= 1 u + 13.35 + 1 u
= 2 u + 13.35

2 u + 13.35 = 58.85
2 u = 58.85 - 13.35
2 u = 45.50

1 u = 45.50 ÷ 2 = 22.75

Sale price of the 2nd book = $22.75

65% of the price = $22.75
100% of the price = ^22.75₆₅ x 100 = $35

Selling price of the 2nd book before discount = $35

Answer(s): (a) $52.15; (b) $35