PSLE A stationery 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.
Opal and Liam each bought two books at the sale.
- Opal's books were priced at $18 and $26. How much did she pay for them?
- Liam paid a total of $46.55 for his two books. He paid $6.25 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% $26 |
100% $18 |
|
Discount |
- 20% |
- 35% |
|
Sale price |
80% |
65% |
? |
(a)
Selling price of the 1st book
= 80% x 26
=
80100 x 26
= $20.80
Selling price of 2nd book
= 65% x 18
=
65100 x 18
= $11.70
Total amount that Opal paid
= 20.80 + 11.70
= $32.50
|
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 + $6.25 |
1 u |
$46.55 |
(b)
Sale price of the 1st book = 1 u + 6.25
Sale price of the 2nd book = 1 u
Total amount that Liam paid
= 1 u + 6.25 + 1 u
= 2 u + 6.25
2 u + 6.25 = 46.55
2 u = 46.55 - 6.25
2 u = 40.30
1 u = 40.30 ÷ 2 = 20.15
Sale price of the 2nd book = $20.15
65% of the price = $20.15
100% of the price =
20.1565 x 100 = $31
Selling price of the 2nd book before discount = $31
Answer(s): (a) $32.50; (b) $31