PSLE A book shop 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.
Abi and Harry each bought two books at the sale.
- Abi's books were priced at $6 and $13. How much did she pay for them?
- Harry paid a total of $32.80 for his two books. He paid $10.40 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% $13 |
100% $6 |
|
Discount |
- 10% |
- 20% |
|
Sale price |
90% |
80% |
? |
(a)
Selling price of the 1st book
= 90% x 13
=
90100 x 13
= $11.70
Selling price of 2nd book
= 80% x 6
=
80100 x 6
= $4.80
Total amount that Abi paid
= 11.70 + 4.80
= $16.50
|
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 + $10.40 |
1 u |
$32.80 |
(b)
Sale price of the 1st book = 1 u + 10.40
Sale price of the 2nd book = 1 u
Total amount that Harry paid
= 1 u + 10.40 + 1 u
= 2 u + 10.40
2 u + 10.40 = 32.80
2 u = 32.80 - 10.40
2 u = 22.40
1 u = 22.40 ÷ 2 = 11.20
Sale price of the 2nd book = $11.20
80% of the price = $11.20
100% of the price =
11.2080 x 100 = $14
Selling price of the 2nd book before discount = $14
Answer(s): (a) $16.50; (b) $14