PSLE A bookstore 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.
Roshel and Sam each bought two books at the sale.
- Roshel's books were priced at $25 and $32. How much more did she pay for the 1st book than the 2nd book?
- Sam paid a total of $52.90 for his two books. He paid $9.50 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% $32 |
100% $25 |
|
Discount |
- 20% |
- 30% |
|
Sale price |
80% |
70% |
? |
(a)
Selling price of the 1st book
= 80% x 32
=
80100 x 32
= $25.60
Selling price of 2nd book
= 70% x 25
=
70100 x 25
= $17.50
Amount that Roshel paid more for the 1st book than the 2nd book
= 25.60 - 17.50
= $8.10
|
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 + $9.50 |
1 u |
$52.90 |
(b)
Sale price of the 1st book = 1 u + 9.50
Sale price of the 2nd book = 1 u
Total amount that Sam paid
= 1 u + 9.50 + 1 u
= 2 u + 9.50
2 u + 9.50 = 52.90
2 u = 52.90 - 9.50
2 u = 43.40
1 u = 43.40 ÷ 2 = 21.70
Sale price of the 1st book
= 1 u + 9.50
= $31.20
80% of the price = $31.20
100% of the price =
31.2080 x 100 = $39
Selling price of the 1st book before discount = $39
Answer(s): (a) $8.10; (b) $39