PSLE
A stationery shop is having a book sale.

The 1st book is at 25% 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.

Hazel and Carl each bought two books at the sale.

1. Hazel's books were priced at $22 and $26. How much did she pay for them?
2. Carl paid a total of $31.65 for his two books. He paid $8.85 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% $26	100% $22
Discount	- 25%	- 40%
Sale price	75%	60%	?

(a)
Selling price of the 1st book
= 75% x 26
= ⁷⁵₁₀₀ x 26
= $19.50

Selling price of 2nd book
= 60% x 22
= ⁶⁰₁₀₀ x 22
= $13.20

Total amount that Hazel paid
= 19.50 + 13.20
= $32.70

	1st book	2nd book	Total amount
Original price	100%	100%
Discount	- 25%	- 40%
Sale price	75%	60%
Compare 1st book and 2nd book	1 u + $8.85	1 u	$31.65

(b)
Sale price of the 1st book = 1 u + 8.85
Sale price of the 2nd book = 1 u

Total amount that Carl paid
= 1 u + 8.85 + 1 u
= 2 u + 8.85

2 u + 8.85 = 31.65
2 u = 31.65 - 8.85
2 u = 22.80

1 u = 22.80 ÷ 2 = 11.40

Sale price of the 2nd book = $11.40

60% of the price = $11.40
100% of the price = ^11.40₆₀ x 100 = $19

Selling price of the 2nd book before discount = $19

Answer(s): (a) $32.70; (b) $19