PSLE A stationery kiosk 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.
Tiffany and Ryan each bought two books at the sale.
- Tiffany's books were priced at $23 and $28. How much more did she pay for the 1st book than the 2nd book?
- Ryan paid a total of $63.20 for his two books. He paid $7.10 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% $23 |
|
Discount |
- 5% |
- 15% |
|
Sale price |
95% |
85% |
? |
(a)
Selling price of the 1st book
= 95% x 28
=
95100 x 28
= $26.60
Selling price of 2nd book
= 85% x 23
=
85100 x 23
= $19.55
Amount that Tiffany paid more for the 1st book than the 2nd book
= 26.60 - 19.55
= $7.05
|
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 + $7.10 |
1 u |
$63.20 |
(b)
Sale price of the 1st book = 1 u + 7.10
Sale price of the 2nd book = 1 u
Total amount that Ryan paid
= 1 u + 7.10 + 1 u
= 2 u + 7.10
2 u + 7.10 = 63.20
2 u = 63.20 - 7.10
2 u = 56.10
1 u = 56.10 ÷ 2 = 28.05
Sale price of the 1st book
= 1 u + 7.10
= $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) $7.05; (b) $37