PSLE A store 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.
Kylie and Ahmad each bought two books at the sale.
- Kylie's books were priced at $12 and $12. How much less did she pay for the 2nd book than the 1st book?
- Ahmad paid a total of $38.25 for his two books. He paid $13.05 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% $12 |
100% $12 |
|
Discount |
- 5% |
- 40% |
|
Sale price |
95% |
60% |
? |
(a)
Selling price of the 1st book
= 95% x 12
=
95100 x 12
= $11.40
Selling price of 2nd book
= 60% x 12
=
60100 x 12
= $7.20
Amount that Kylie paid less for the 2nd book than the 1st book
= 11.40 - 7.20
= $4.20
|
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 + $13.05 |
1 u |
$38.25 |
(b)
Sale price of the 1st book = 1 u + 13.05
Sale price of the 2nd book = 1 u
Total amount that Ahmad paid
= 1 u + 13.05 + 1 u
= 2 u + 13.05
2 u + 13.05 = 38.25
2 u = 38.25 - 13.05
2 u = 25.20
1 u = 25.20 ÷ 2 = 12.60
Sale price of the 1st book
= 1 u + 13.05
= $25.65
95% of the price = $25.65
100% of the price =
25.6595 x 100 = $27
Selling price of the 1st book before discount = $27
Answer(s): (a) $4.20; (b) $27