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.
Winnie and Henry each bought two books at the sale.
- Winnie's books were priced at $8 and $14. How much did she pay for them?
- Henry paid a total of $45.30 for his two books. He paid $7.50 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% $14 |
100% $8 |
|
Discount |
- 20% |
- 30% |
|
Sale price |
80% |
70% |
? |
(a)
Selling price of the 1st book
= 80% x 14
=
80100 x 14
= $11.20
Selling price of 2nd book
= 70% x 8
=
70100 x 8
= $5.60
Total amount that Winnie paid
= 11.20 + 5.60
= $16.80
|
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 + $7.50 |
1 u |
$45.30 |
(b)
Sale price of the 1st book = 1 u + 7.50
Sale price of the 2nd book = 1 u
Total amount that Henry paid
= 1 u + 7.50 + 1 u
= 2 u + 7.50
2 u + 7.50 = 45.30
2 u = 45.30 - 7.50
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) $16.80; (b) $27