PSLE A store is having a book sale. The 1st book is at 5% discount. The 2nd book is at 30% discount. The price of the 2nd book should be equal or lower than the price of the 1st book.
- Jaslyn's books were priced at $14 and $18. How much less did she pay for the 2nd book than the 1st book?
- Ahmad paid a total of $30.95 for his two books. He paid $12.75 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% $18 |
100% $14 |
|
Discount |
- 5% |
- 30% |
|
Sale price |
95% |
70% |
? |
(a)
Selling price of the 1st book
= 95% x 18
=
95100 x 18
= $17.10
Selling price of 2nd book
= 70% x 14
=
70100 x 14
= $9.80
Amount that Jaslyn paid less for the 2nd book than the 1st book
= 17.10 - 9.80
= $7.30
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 5% |
- 30% |
|
Sale price |
95%
|
70%
|
|
Compare 1st book and 2nd book |
1 u + $12.75 |
1 u |
$30.95 |
(b)
Sale price of the 1st book = 1 u + 12.75
Sale price of the 2nd book = 1 u
Total amount that Ahmad paid
= 1 u + 12.75 + 1 u
= 2 u + 12.75
2 u + 12.75 = 30.95
2 u = 30.95 - 12.75
2 u = 18.20
1 u = 18.20 ÷ 2 = 9.10
Sale price of the 1st book
= 1 u + 12.75
= $21.85
95% of the price = $21.85
100% of the price =
21.8595 x 100 = $23
Selling price of the 1st book before discount = $23
Answer(s): (a) $7.30; (b) $23