PSLE A book shop is having a book sale.
The 1st book is at 5% 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.
Opal and Glen each bought two books at the sale.
- Opal's books were priced at $4 and $19. How much more did she pay for the 1st book than the 2nd book?
- Glen paid a total of $52.55 for his two books. He paid $17.75 more for the 1st book than for the 2nd book. What was the price of the 1st book before discount?
|
1st book |
2nd book |
Total amount |
Original price
|
100% $19 |
100% $4 |
|
Discount |
- 5% |
- 40% |
|
Sale price |
95% |
60% |
? |
(a)
Selling price of the 1st book
= 95% x 19
=
95100 x 19
= $18.05
Selling price of 2nd book
= 60% x 4
=
60100 x 4
= $2.40
Amount that Opal paid more for the 1st book than the 2nd book
= 18.05 - 2.40
= $15.65
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 5% |
- 40% |
|
Sale price |
95%
|
60%
|
|
Compare 1st book and 2nd book |
1 u + $17.75 |
1 u |
$52.55 |
(b)
Sale price of the 1st book = 1 u + 17.75
Sale price of the 2nd book = 1 u
Total amount that Glen paid
= 1 u + 17.75 + 1 u
= 2 u + 17.75
2 u + 17.75 = 52.55
2 u = 52.55 - 17.75
2 u = 34.80
1 u = 34.80 ÷ 2 = 17.40
Sale price of the 1st book
= 1 u + 17.75
= $35.15
95% of the price = $35.15
100% of the price =
35.1595 x 100 = $37
Selling price of the 1st book before discount = $37
Answer(s): (a) $15.65; (b) $37