PSLE A book shop is having a book sale.
The 1st book is at 10% discount.
The 2nd book is at 15% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Abi and Tim each bought two books at the sale.
- Abi's books were priced at $25 and $25. How much did she pay for them?
- Tim paid a total of $45.65 for his two books. He paid $6.55 less for the 2nd book than the 1st book. What was the price of the 2nd book before discount?
|
1st book |
2nd book |
Total amount |
Original price
|
100% $25 |
100% $25 |
|
Discount |
- 10% |
- 15% |
|
Sale price |
90% |
85% |
? |
(a)
Selling price of the 1st book
= 90% x 25
=
90100 x 25
= $22.50
Selling price of 2nd book
= 85% x 25
=
85100 x 25
= $21.25
Total amount that Abi paid
= 22.50 + 21.25
= $43.75
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 10% |
- 15% |
|
Sale price |
90%
|
85%
|
|
Compare 1st book and 2nd book |
1 u + $6.55 |
1 u |
$45.65 |
(b)
Sale price of the 1st book = 1 u + 6.55
Sale price of the 2nd book = 1 u
Total amount that Tim paid
= 1 u + 6.55 + 1 u
= 2 u + 6.55
2 u + 6.55 = 45.65
2 u = 45.65 - 6.55
2 u = 39.10
1 u = 39.10 ÷ 2 = 19.55
Sale price of the 2nd book = $19.55
85% of the price = $19.55
100% of the price =
19.5585 x 100 = $23
Selling price of the 2nd book before discount = $23
Answer(s): (a) $43.75; (b) $23