PSLE A stationery shop is having a book sale.
The 1st book is at 15% 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.
Xuan and Seth each bought two books at the sale.
- Xuan's books were priced at $31 and $35. How much did she pay for them?
- Seth paid a total of $48.75 for his two books. He paid $3.95 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% $35 |
100% $31 |
|
Discount |
- 15% |
- 20% |
|
Sale price |
85% |
80% |
? |
(a)
Selling price of the 1st book
= 85% x 35
=
85100 x 35
= $29.75
Selling price of 2nd book
= 80% x 31
=
80100 x 31
= $24.80
Total amount that Xuan paid
= 29.75 + 24.80
= $54.55
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 15% |
- 20% |
|
Sale price |
85%
|
80%
|
|
Compare 1st book and 2nd book |
1 u + $3.95 |
1 u |
$48.75 |
(b)
Sale price of the 1st book = 1 u + 3.95
Sale price of the 2nd book = 1 u
Total amount that Seth paid
= 1 u + 3.95 + 1 u
= 2 u + 3.95
2 u + 3.95 = 48.75
2 u = 48.75 - 3.95
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) $54.55; (b) $28