PSLE A 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.
Marion and Will each bought two books at the sale.
- Marion's books were priced at $8 and $13. How much did she pay for them?
- Will paid a total of $45.50 for his two books. He paid $10.30 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% $13 |
100% $8 |
|
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 8
=
80100 x 8
= $6.40
Total amount that Marion paid
= 11.70 + 6.40
= $18.10
|
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 + $10.30 |
1 u |
$45.50 |
(b)
Sale price of the 1st book = 1 u + 10.30
Sale price of the 2nd book = 1 u
Total amount that Will paid
= 1 u + 10.30 + 1 u
= 2 u + 10.30
2 u + 10.30 = 45.50
2 u = 45.50 - 10.30
2 u = 35.20
1 u = 35.20 ÷ 2 = 17.60
Sale price of the 2nd book = $17.60
80% of the price = $17.60
100% of the price =
17.6080 x 100 = $22
Selling price of the 2nd book before discount = $22
Answer(s): (a) $18.10; (b) $22