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.
Xuan and Paul each bought two books at the sale.
- Xuan's books were priced at $22 and $29. How much did she pay for them?
- Paul paid a total of $43.70 for his two books. He paid $5.90 more for the 1st book than the 2nd book. What was the price of the 2nd book before discount?
|
1st book |
2nd book |
Total amount |
Original price
|
100% $29 |
100% $22 |
|
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 22
=
70100 x 22
= $15.40
Total amount that Xuan paid
= 23.20 + 15.40
= $38.60
|
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 + $5.90 |
1 u |
$43.70 |
(b)
Sale price of the 1st book = 1 u + 5.90
Sale price of the 2nd book = 1 u
Total amount that Paul paid
= 1 u + 5.90 + 1 u
= 2 u + 5.90
2 u + 5.90 = 43.70
2 u = 43.70 - 5.90
2 u = 37.80
1 u = 37.80 ÷ 2 = 18.90
Sale price of the 2nd book = $18.90
70% of the price = $18.90
100% of the price =
18.9070 x 100 = $27
Selling price of the 2nd book before discount = $27
Answer(s): (a) $38.60; (b) $27