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.
Hazel and Pierre each bought two books at the sale.
- Hazel's books were priced at $17 and $24. How much did she pay for them?
- Pierre paid a total of $29.40 for his two books. He paid $4.20 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% $24 |
100% $17 |
|
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 17
=
70100 x 17
= $11.90
Total amount that Hazel paid
= 19.20 + 11.90
= $31.10
|
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 + $4.20 |
1 u |
$29.40 |
(b)
Sale price of the 1st book = 1 u + 4.20
Sale price of the 2nd book = 1 u
Total amount that Pierre paid
= 1 u + 4.20 + 1 u
= 2 u + 4.20
2 u + 4.20 = 29.40
2 u = 29.40 - 4.20
2 u = 25.20
1 u = 25.20 ÷ 2 = 12.60
Sale price of the 2nd book = $12.60
70% of the price = $12.60
100% of the price =
12.6070 x 100 = $18
Selling price of the 2nd book before discount = $18
Answer(s): (a) $31.10; (b) $18