PSLE A stationery shop is having a book sale.
The 1st book is at 5% discount.
The 2nd book is at 40% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Tammy and George each bought two books at the sale.
- Tammy's books were priced at $8 and $14. How much more did she pay for the 1st book than the 2nd book?
- George paid a total of $55.55 for his two books. He paid $14.75 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% $14 |
100% $8 |
|
Discount |
- 5% |
- 40% |
|
Sale price |
95% |
60% |
? |
(a)
Selling price of the 1st book
= 95% x 14
=
95100 x 14
= $13.30
Selling price of 2nd book
= 60% x 8
=
60100 x 8
= $4.80
Amount that Tammy paid more for the 1st book than the 2nd book
= 13.30 - 4.80
= $8.50
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 5% |
- 40% |
|
Sale price |
95%
|
60%
|
|
Compare 1st book and 2nd book |
1 u + $14.75 |
1 u |
$55.55 |
(b)
Sale price of the 1st book = 1 u + 14.75
Sale price of the 2nd book = 1 u
Total amount that George paid
= 1 u + 14.75 + 1 u
= 2 u + 14.75
2 u + 14.75 = 55.55
2 u = 55.55 - 14.75
2 u = 40.80
1 u = 40.80 ÷ 2 = 20.40
Sale price of the 1st book
= 1 u + 14.75
= $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) $8.50; (b) $37