PSLE A stationery 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.
Elyse and Caden each bought two books at the sale.
- Elyse's books were priced at $15 and $17. How much more did she pay for the 1st book than the 2nd book?
- Caden paid a total of $50.60 for his two books. He paid $6.40 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% $17 |
100% $15 |
|
Discount |
- 5% |
- 15% |
|
Sale price |
95% |
85% |
? |
(a)
Selling price of the 1st book
= 95% x 17
=
95100 x 17
= $16.15
Selling price of 2nd book
= 85% x 15
=
85100 x 15
= $12.75
Amount that Elyse paid more for the 1st book than the 2nd book
= 16.15 - 12.75
= $3.40
|
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 + $6.40 |
1 u |
$50.60 |
(b)
Sale price of the 1st book = 1 u + 6.40
Sale price of the 2nd book = 1 u
Total amount that Caden paid
= 1 u + 6.40 + 1 u
= 2 u + 6.40
2 u + 6.40 = 50.60
2 u = 50.60 - 6.40
2 u = 44.20
1 u = 44.20 ÷ 2 = 22.10
Sale price of the 1st book
= 1 u + 6.40
= $28.50
95% of the price = $28.50
100% of the price =
28.5095 x 100 = $30
Selling price of the 1st book before discount = $30
Answer(s): (a) $3.40; (b) $30