PSLE A shop is having a book sale.
The 1st book is at 15% 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.
Gillian and Howard each bought two books at the sale.
- Gillian's books were priced at $27 and $33. How much more did she pay for the 1st book than the 2nd book?
- Howard paid a total of $29.50 for his two books. He paid $11.30 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% $33 |
100% $27 |
|
Discount |
- 15% |
- 35% |
|
Sale price |
85% |
65% |
? |
(a)
Selling price of the 1st book
= 85% x 33
=
85100 x 33
= $28.05
Selling price of 2nd book
= 65% x 27
=
65100 x 27
= $17.55
Amount that Gillian paid more for the 1st book than the 2nd book
= 28.05 - 17.55
= $10.50
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 15% |
- 35% |
|
Sale price |
85%
|
65%
|
|
Compare 1st book and 2nd book |
1 u + $11.30 |
1 u |
$29.50 |
(b)
Sale price of the 1st book = 1 u + 11.30
Sale price of the 2nd book = 1 u
Total amount that Howard paid
= 1 u + 11.30 + 1 u
= 2 u + 11.30
2 u + 11.30 = 29.50
2 u = 29.50 - 11.30
2 u = 18.20
1 u = 18.20 ÷ 2 = 9.10
Sale price of the 1st book
= 1 u + 11.30
= $20.40
85% of the price = $20.40
100% of the price =
20.4085 x 100 = $24
Selling price of the 1st book before discount = $24
Answer(s): (a) $10.50; (b) $24