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.
Gabby and Asher each bought two books at the sale.
- Gabby's books were priced at $17 and $19. How much did she pay for them?
- Asher paid a total of $31.20 for his two books. He paid $14.40 less for the 2nd book than the 1st book. What was the price of the 2nd book before discount?
|
1st book |
2nd book |
Total amount |
Original price
|
100% $19 |
100% $17 |
|
Discount |
- 5% |
- 40% |
|
Sale price |
95% |
60% |
? |
(a)
Selling price of the 1st book
= 95% x 19
=
95100 x 19
= $18.05
Selling price of 2nd book
= 60% x 17
=
60100 x 17
= $10.20
Total amount that Gabby paid
= 18.05 + 10.20
= $28.25
|
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 + $14.40 |
1 u |
$31.20 |
(b)
Sale price of the 1st book = 1 u + 14.40
Sale price of the 2nd book = 1 u
Total amount that Asher paid
= 1 u + 14.40 + 1 u
= 2 u + 14.40
2 u + 14.40 = 31.20
2 u = 31.20 - 14.40
2 u = 16.80
1 u = 16.80 ÷ 2 = 8.40
Sale price of the 2nd book = $8.40
60% of the price = $8.40
100% of the price =
8.4060 x 100 = $14
Selling price of the 2nd book before discount = $14
Answer(s): (a) $28.25; (b) $14