PSLE A book shop is having a book sale.
The 1st book is at 5% 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.
Gem and Sean each bought two books at the sale.
- Gem's books were priced at $21 and $28. How much more did she pay for the 1st book than the 2nd book?
- Sean paid a total of $52.10 for his two books. He paid $14.40 less for the 2nd book than for the 1st book. What was the price of the 1st book before discount?
|
1st book |
2nd book |
Total amount |
Original price
|
100% $28 |
100% $21 |
|
Discount |
- 5% |
- 35% |
|
Sale price |
95% |
65% |
? |
(a)
Selling price of the 1st book
= 95% x 28
=
95100 x 28
= $26.60
Selling price of 2nd book
= 65% x 21
=
65100 x 21
= $13.65
Amount that Gem paid more for the 1st book than the 2nd book
= 26.60 - 13.65
= $12.95
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 5% |
- 35% |
|
Sale price |
95%
|
65%
|
|
Compare 1st book and 2nd book |
1 u + $14.40 |
1 u |
$52.10 |
(b)
Sale price of the 1st book = 1 u + 14.40
Sale price of the 2nd book = 1 u
Total amount that Sean paid
= 1 u + 14.40 + 1 u
= 2 u + 14.40
2 u + 14.40 = 52.10
2 u = 52.10 - 14.40
2 u = 37.70
1 u = 37.70 ÷ 2 = 18.85
Sale price of the 1st book
= 1 u + 14.40
= $33.25
95% of the price = $33.25
100% of the price =
33.2595 x 100 = $35
Selling price of the 1st book before discount = $35
Answer(s): (a) $12.95; (b) $35