PSLE A store 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 George each bought two books at the sale.
- Gabby's books were priced at $9 and $24. How much did she pay for them?
- George paid a total of $39.30 for his two books. He paid $7.10 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% $24 |
100% $9 |
|
Discount |
- 20% |
- 30% |
|
Sale price |
80% |
70% |
? |
(a)
Selling price of the 1st book
= 80% x 24
=
80100 x 24
= $19.20
Selling price of 2nd book
= 70% x 9
=
70100 x 9
= $6.30
Total amount that Gabby paid
= 19.20 + 6.30
= $25.50
|
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 + $7.10 |
1 u |
$39.30 |
(b)
Sale price of the 1st book = 1 u + 7.10
Sale price of the 2nd book = 1 u
Total amount that George paid
= 1 u + 7.10 + 1 u
= 2 u + 7.10
2 u + 7.10 = 39.30
2 u = 39.30 - 7.10
2 u = 32.20
1 u = 32.20 ÷ 2 = 16.10
Sale price of the 2nd book = $16.10
70% of the price = $16.10
100% of the price =
16.1070 x 100 = $23
Selling price of the 2nd book before discount = $23
Answer(s): (a) $25.50; (b) $23