PSLE A stationery shop is having a book sale.
The 1st book is at 20% 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.
Jen and Rael each bought two books at the sale.
- Jen's books were priced at $27 and $29. How much less did she pay for the 2nd book than the 1st book?
- Rael paid a total of $53.50 for his two books. He paid $7.30 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% $29 |
100% $27 |
|
Discount |
- 20% |
- 30% |
|
Sale price |
80% |
70% |
? |
(a)
Selling price of the 1st book
= 80% x 29
=
80100 x 29
= $23.20
Selling price of 2nd book
= 70% x 27
=
70100 x 27
= $18.90
Amount that Jen paid less for the 2nd book than the 1st book
= 23.20 - 18.90
= $4.30
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 20% |
- 30% |
|
Sale price |
80%
|
70%
|
|
Compare 1st book and 2nd book |
1 u + $7.30 |
1 u |
$53.50 |
(b)
Sale price of the 1st book = 1 u + 7.30
Sale price of the 2nd book = 1 u
Total amount that Rael paid
= 1 u + 7.30 + 1 u
= 2 u + 7.30
2 u + 7.30 = 53.50
2 u = 53.50 - 7.30
2 u = 46.20
1 u = 46.20 ÷ 2 = 23.10
Sale price of the 1st book
= 1 u + 7.30
= $30.40
80% of the price = $30.40
100% of the price =
30.4080 x 100 = $38
Selling price of the 1st book before discount = $38
Answer(s): (a) $4.30; (b) $38