PSLE A store is having a book sale.
The 1st book is at 10% discount.
The 2nd book is at 20% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Rachel and Glen each bought two books at the sale.
- Rachel's books were priced at $13 and $14. How much more did she pay for the 1st book than the 2nd book?
- Glen paid a total of $34.20 for his two books. He paid $5.40 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% $14 |
100% $13 |
|
Discount |
- 10% |
- 20% |
|
Sale price |
90% |
80% |
? |
(a)
Selling price of the 1st book
= 90% x 14
=
90100 x 14
= $12.60
Selling price of 2nd book
= 80% x 13
=
80100 x 13
= $10.40
Amount that Rachel paid more for the 1st book than the 2nd book
= 12.60 - 10.40
= $2.20
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 10% |
- 20% |
|
Sale price |
90%
|
80%
|
|
Compare 1st book and 2nd book |
1 u + $5.40 |
1 u |
$34.20 |
(b)
Sale price of the 1st book = 1 u + 5.40
Sale price of the 2nd book = 1 u
Total amount that Glen paid
= 1 u + 5.40 + 1 u
= 2 u + 5.40
2 u + 5.40 = 34.20
2 u = 34.20 - 5.40
2 u = 28.80
1 u = 28.80 ÷ 2 = 14.40
Sale price of the 1st book
= 1 u + 5.40
= $19.80
90% of the price = $19.80
100% of the price =
19.8090 x 100 = $22
Selling price of the 1st book before discount = $22
Answer(s): (a) $2.20; (b) $22