PSLE A book shop is having a book sale.
The 1st book is at 20% discount.
The 2nd book is at 35% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Wendy and Jeremy each bought two books at the sale.
- Wendy's books were priced at $23 and $31. How much did she pay for them?
- Jeremy paid a total of $40.10 for his two books. He paid $6.30 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% $23 |
|
Discount |
- 20% |
- 35% |
|
Sale price |
80% |
65% |
? |
(a)
Selling price of the 1st book
= 80% x 31
=
80100 x 31
= $24.80
Selling price of 2nd book
= 65% x 23
=
65100 x 23
= $14.95
Total amount that Wendy paid
= 24.80 + 14.95
= $39.75
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 20% |
- 35% |
|
Sale price |
80%
|
65%
|
|
Compare 1st book and 2nd book |
1 u + $6.30 |
1 u |
$40.10 |
(b)
Sale price of the 1st book = 1 u + 6.30
Sale price of the 2nd book = 1 u
Total amount that Jeremy paid
= 1 u + 6.30 + 1 u
= 2 u + 6.30
2 u + 6.30 = 40.10
2 u = 40.10 - 6.30
2 u = 33.80
1 u = 33.80 ÷ 2 = 16.90
Sale price of the 2nd book = $16.90
65% of the price = $16.90
100% of the price =
16.9065 x 100 = $26
Selling price of the 2nd book before discount = $26
Answer(s): (a) $39.75; (b) $26