PSLE A shop is having a book sale.
The 1st book is at 5% discount.
The 2nd book is at 15% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Natalie and Sean each bought two books at the sale.
- Natalie's books were priced at $33 and $38. How much less did she pay for the 2nd book than the 1st book?
- Sean paid a total of $43.30 for his two books. He paid $4.20 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% $38 |
100% $33 |
|
Discount |
- 5% |
- 15% |
|
Sale price |
95% |
85% |
? |
(a)
Selling price of the 1st book
= 95% x 38
=
95100 x 38
= $36.10
Selling price of 2nd book
= 85% x 33
=
85100 x 33
= $28.05
Amount that Natalie paid less for the 2nd book than the 1st book
= 36.10 - 28.05
= $8.05
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 5% |
- 15% |
|
Sale price |
95%
|
85%
|
|
Compare 1st book and 2nd book |
1 u + $4.20 |
1 u |
$43.30 |
(b)
Sale price of the 1st book = 1 u + 4.20
Sale price of the 2nd book = 1 u
Total amount that Sean paid
= 1 u + 4.20 + 1 u
= 2 u + 4.20
2 u + 4.20 = 43.30
2 u = 43.30 - 4.20
2 u = 39.10
1 u = 39.10 ÷ 2 = 19.55
Sale price of the 1st book
= 1 u + 4.20
= $23.75
95% of the price = $23.75
100% of the price =
23.7595 x 100 = $25
Selling price of the 1st book before discount = $25
Answer(s): (a) $8.05; (b) $25