PSLE A stationery shop is having a book sale.
The 1st book is at 15% 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.
Linda and Perry each bought two books at the sale.
- Linda's books were priced at $14 and $24. How much more did she pay for the 1st book than the 2nd book?
- Perry paid a total of $28.45 for his two books. He paid $8.95 more for the 1st book than for the 2nd book. What was the price of the 1st book before discount?
|
1st book |
2nd book |
Total amount |
Original price
|
100% $24 |
100% $14 |
|
Discount |
- 15% |
- 35% |
|
Sale price |
85% |
65% |
? |
(a)
Selling price of the 1st book
= 85% x 24
=
85100 x 24
= $20.40
Selling price of 2nd book
= 65% x 14
=
65100 x 14
= $9.10
Amount that Linda paid more for the 1st book than the 2nd book
= 20.40 - 9.10
= $11.30
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 15% |
- 35% |
|
Sale price |
85%
|
65%
|
|
Compare 1st book and 2nd book |
1 u + $8.95 |
1 u |
$28.45 |
(b)
Sale price of the 1st book = 1 u + 8.95
Sale price of the 2nd book = 1 u
Total amount that Perry paid
= 1 u + 8.95 + 1 u
= 2 u + 8.95
2 u + 8.95 = 28.45
2 u = 28.45 - 8.95
2 u = 19.50
1 u = 19.50 ÷ 2 = 9.75
Sale price of the 1st book
= 1 u + 8.95
= $18.70
85% of the price = $18.70
100% of the price =
18.7085 x 100 = $22
Selling price of the 1st book before discount = $22
Answer(s): (a) $11.30; (b) $22