PSLE A stationery kiosk 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.
Jane and Charlie each bought two books at the sale.
- Jane's books were priced at $13 and $13. How much more did she pay for the 1st book than the 2nd book?
- Charlie paid a total of $48.90 for his two books. He paid $8.10 less for the 2nd book than for the 1st book. What was the price of the 1st book before discount?
|
1st book |
2nd book |
Total amount |
Original price
|
100% $13 |
100% $13 |
|
Discount |
- 25% |
- 40% |
|
Sale price |
75% |
60% |
? |
(a)
Selling price of the 1st book
= 75% x 13
=
75100 x 13
= $9.75
Selling price of 2nd book
= 60% x 13
=
60100 x 13
= $7.80
Amount that Jane paid more for the 1st book than the 2nd book
= 9.75 - 7.80
= $1.95
|
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 + $8.10 |
1 u |
$48.90 |
(b)
Sale price of the 1st book = 1 u + 8.10
Sale price of the 2nd book = 1 u
Total amount that Charlie paid
= 1 u + 8.10 + 1 u
= 2 u + 8.10
2 u + 8.10 = 48.90
2 u = 48.90 - 8.10
2 u = 40.80
1 u = 40.80 ÷ 2 = 20.40
Sale price of the 1st book
= 1 u + 8.10
= $28.50
75% of the price = $28.50
100% of the price =
28.5075 x 100 = $38
Selling price of the 1st book before discount = $38
Answer(s): (a) $1.95; (b) $38