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.
Zara and Glen each bought two books at the sale.
- Zara's books were priced at $27 and $32. How much more did she pay for the 1st book than the 2nd book?
- Glen paid a total of $50.85 for his two books. He paid $4.95 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% $32 |
100% $27 |
|
Discount |
- 10% |
- 15% |
|
Sale price |
90% |
85% |
? |
(a)
Selling price of the 1st book
= 90% x 32
=
90100 x 32
= $28.80
Selling price of 2nd book
= 85% x 27
=
85100 x 27
= $22.95
Amount that Zara paid more for the 1st book than the 2nd book
= 28.80 - 22.95
= $5.85
|
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 + $4.95 |
1 u |
$50.85 |
(b)
Sale price of the 1st book = 1 u + 4.95
Sale price of the 2nd book = 1 u
Total amount that Glen paid
= 1 u + 4.95 + 1 u
= 2 u + 4.95
2 u + 4.95 = 50.85
2 u = 50.85 - 4.95
2 u = 45.90
1 u = 45.90 ÷ 2 = 22.95
Sale price of the 1st book
= 1 u + 4.95
= $27.90
90% of the price = $27.90
100% of the price =
27.9090 x 100 = $31
Selling price of the 1st book before discount = $31
Answer(s): (a) $5.85; (b) $31