PSLE
A stationery kiosk is having a book sale. The 1st book is at 15% discount. The 2nd book is at 30% discount. The price of the 2nd book should be equal or lower than the price of the 1st book.

1. Jane's books were priced at $3 and $13. How much did she pay for them?
2. George paid a total of $26.25 for his two books. He paid $9.45 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% $13	100% $3
Discount	- 15%	- 30%
Sale price	85%	70%	?

(a)
Selling price of the 1st book
= 85% x 13
= ⁸⁵₁₀₀ x 13
= $11.05

Selling price of 2nd book
= 70% x 3
= ⁷⁰₁₀₀ x 3
= $2.10

Total amount that Jane paid
= 11.05 + 2.10
= $13.15

	1st book	2nd book	Total amount
Original price	100%	100%
Discount	- 15%	- 30%
Sale price	85%	70%
Compare 1st book and 2nd book	1 u + $9.45	1 u	$26.25

(b)
Sale price of the 1st book = 1 u + 9.45
Sale price of the 2nd book = 1 u

Total amount that George paid
= 1 u + 9.45 + 1 u
= 2 u + 9.45

2 u + 9.45 = 26.25
2 u = 26.25 - 9.45
2 u = 16.80

1 u = 16.80 ÷ 2 = 8.40

Sale price of the 2nd book = $8.40

70% of the price = $8.40
100% of the price = ^8.40₇₀ x 100 = $12

Selling price of the 2nd book before discount = $12

Answer(s): (a) $13.15; (b) $12