PSLE A store is having a book sale.
The 1st book is at 10% 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.
Tammy and Mark each bought two books at the sale.
- Tammy's books were priced at $12 and $16. How much less did she pay for the 2nd book than the 1st book?
- Mark paid a total of $56.25 for his two books. He paid $10.35 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% $16 |
100% $12 |
|
Discount |
- 10% |
- 15% |
|
Sale price |
90% |
85% |
? |
(a)
Selling price of the 1st book
= 90% x 16
=
90100 x 16
= $14.40
Selling price of 2nd book
= 85% x 12
=
85100 x 12
= $10.20
Amount that Tammy paid less for the 2nd book than the 1st book
= 14.40 - 10.20
= $4.20
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 10% |
- 15% |
|
Sale price |
90%
|
85%
|
|
Compare 1st book and 2nd book |
1 u + $10.35 |
1 u |
$56.25 |
(b)
Sale price of the 1st book = 1 u + 10.35
Sale price of the 2nd book = 1 u
Total amount that Mark paid
= 1 u + 10.35 + 1 u
= 2 u + 10.35
2 u + 10.35 = 56.25
2 u = 56.25 - 10.35
2 u = 45.90
1 u = 45.90 ÷ 2 = 22.95
Sale price of the 1st book
= 1 u + 10.35
= $33.30
90% of the price = $33.30
100% of the price =
33.3090 x 100 = $37
Selling price of the 1st book before discount = $37
Answer(s): (a) $4.20; (b) $37