PSLE A book shop is having a book sale.
The 1st book is at 20% 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.
Gabby and Luke each bought two books at the sale.
- Gabby's books were priced at $34 and $38. How much did she pay for them?
- Luke paid a total of $24.50 for his two books. He paid $9.10 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% $38 |
100% $34 |
|
Discount |
- 20% |
- 30% |
|
Sale price |
80% |
70% |
? |
(a)
Selling price of the 1st book
= 80% x 38
=
80100 x 38
= $30.40
Selling price of 2nd book
= 70% x 34
=
70100 x 34
= $23.80
Total amount that Gabby paid
= 30.40 + 23.80
= $54.20
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 20% |
- 30% |
|
Sale price |
80%
|
70%
|
|
Compare 1st book and 2nd book |
1 u + $9.10 |
1 u |
$24.50 |
(b)
Sale price of the 1st book = 1 u + 9.10
Sale price of the 2nd book = 1 u
Total amount that Luke paid
= 1 u + 9.10 + 1 u
= 2 u + 9.10
2 u + 9.10 = 24.50
2 u = 24.50 - 9.10
2 u = 15.40
1 u = 15.40 ÷ 2 = 7.70
Sale price of the 2nd book = $7.70
70% of the price = $7.70
100% of the price =
7.7070 x 100 = $11
Selling price of the 2nd book before discount = $11
Answer(s): (a) $54.20; (b) $11