PSLE A shop is having a book sale.
The 1st book is at 25% discount.
The 2nd book is at 40% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Zara and Mark each bought two books at the sale.
- Zara's books were priced at $9 and $18. How much did she pay for them?
- Mark paid a total of $40.95 for his two books. He paid $8.55 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% $18 |
100% $9 |
|
Discount |
- 25% |
- 40% |
|
Sale price |
75% |
60% |
? |
(a)
Selling price of the 1st book
= 75% x 18
=
75100 x 18
= $13.50
Selling price of 2nd book
= 60% x 9
=
60100 x 9
= $5.40
Total amount that Zara paid
= 13.50 + 5.40
= $18.90
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 25% |
- 40% |
|
Sale price |
75%
|
60%
|
|
Compare 1st book and 2nd book |
1 u + $8.55 |
1 u |
$40.95 |
(b)
Sale price of the 1st book = 1 u + 8.55
Sale price of the 2nd book = 1 u
Total amount that Mark paid
= 1 u + 8.55 + 1 u
= 2 u + 8.55
2 u + 8.55 = 40.95
2 u = 40.95 - 8.55
2 u = 32.40
1 u = 32.40 ÷ 2 = 16.20
Sale price of the 2nd book = $16.20
60% of the price = $16.20
100% of the price =
16.2060 x 100 = $27
Selling price of the 2nd book before discount = $27
Answer(s): (a) $18.90; (b) $27