PSLE A book shop is having a book sale.
The 1st book is at 5% discount.
The 2nd book is at 10% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Emma and Elijah each bought two books at the sale.
- Emma's books were priced at $9 and $17. How much did she pay for them?
- Elijah paid a total of $53.90 for his two books. He paid $10.70 more for the 1st book than the 2nd book. What was the price of the 2nd book before discount?
|
1st book |
2nd book |
Total amount |
Original price
|
100% $17 |
100% $9 |
|
Discount |
- 5% |
- 10% |
|
Sale price |
95% |
90% |
? |
(a)
Selling price of the 1st book
= 95% x 17
=
95100 x 17
= $16.15
Selling price of 2nd book
= 90% x 9
=
90100 x 9
= $8.10
Total amount that Emma paid
= 16.15 + 8.10
= $24.25
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 5% |
- 10% |
|
Sale price |
95%
|
90%
|
|
Compare 1st book and 2nd book |
1 u + $10.70 |
1 u |
$53.90 |
(b)
Sale price of the 1st book = 1 u + 10.70
Sale price of the 2nd book = 1 u
Total amount that Elijah paid
= 1 u + 10.70 + 1 u
= 2 u + 10.70
2 u + 10.70 = 53.90
2 u = 53.90 - 10.70
2 u = 43.20
1 u = 43.20 ÷ 2 = 21.60
Sale price of the 2nd book = $21.60
90% of the price = $21.60
100% of the price =
21.6090 x 100 = $24
Selling price of the 2nd book before discount = $24
Answer(s): (a) $24.25; (b) $24