PSLE A 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.
- Jade's books were priced at $17 and $23. How much more did she pay for the 1st book than the 2nd book?
- Glen paid a total of $49.95 for his two books. He paid $12.75 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% $23 |
100% $17 |
|
Discount |
- 5% |
- 40% |
|
Sale price |
95% |
60% |
? |
(a)
Selling price of the 1st book
= 95% x 23
=
95100 x 23
= $21.85
Selling price of 2nd book
= 60% x 17
=
60100 x 17
= $10.20
Amount that Jade paid more for the 1st book than the 2nd book
= 21.85 - 10.20
= $11.65
|
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 + $12.75 |
1 u |
$49.95 |
(b)
Sale price of the 1st book = 1 u + 12.75
Sale price of the 2nd book = 1 u
Total amount that Glen paid
= 1 u + 12.75 + 1 u
= 2 u + 12.75
2 u + 12.75 = 49.95
2 u = 49.95 - 12.75
2 u = 37.20
1 u = 37.20 ÷ 2 = 18.60
Sale price of the 1st book
= 1 u + 12.75
= $31.35
95% of the price = $31.35
100% of the price =
31.3595 x 100 = $33
Selling price of the 1st book before discount = $33
Answer(s): (a) $11.65; (b) $33