PSLE A stationery 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.
Jane and Simon each bought two books at the sale.
- Jane's books were priced at $22 and $31. How much did she pay for them?
- Simon paid a total of $52.10 for his two books. He paid $7.30 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% $31 |
100% $22 |
|
Discount |
- 10% |
- 20% |
|
Sale price |
90% |
80% |
? |
(a)
Selling price of the 1st book
= 90% x 31
=
90100 x 31
= $27.90
Selling price of 2nd book
= 80% x 22
=
80100 x 22
= $17.60
Total amount that Jane paid
= 27.90 + 17.60
= $45.50
|
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 + $7.30 |
1 u |
$52.10 |
(b)
Sale price of the 1st book = 1 u + 7.30
Sale price of the 2nd book = 1 u
Total amount that Simon paid
= 1 u + 7.30 + 1 u
= 2 u + 7.30
2 u + 7.30 = 52.10
2 u = 52.10 - 7.30
2 u = 44.80
1 u = 44.80 ÷ 2 = 22.40
Sale price of the 2nd book = $22.40
80% of the price = $22.40
100% of the price =
22.4080 x 100 = $28
Selling price of the 2nd book before discount = $28
Answer(s): (a) $45.50; (b) $28