PSLE A bookstore 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.
- Fiona's books were priced at $1 and $12. How much did she pay for them?
- Elijah paid a total of $36.90 for his two books. He paid $4.70 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% $12 |
100% $1 |
|
Discount |
- 20% |
- 30% |
|
Sale price |
80% |
70% |
? |
(a)
Selling price of the 1st book
= 80% x 12
=
80100 x 12
= $9.60
Selling price of 2nd book
= 70% x 1
=
70100 x 1
= $0.70
Total amount that Fiona paid
= 9.60 + 0.70
= $10.30
|
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 + $4.70 |
1 u |
$36.90 |
(b)
Sale price of the 1st book = 1 u + 4.70
Sale price of the 2nd book = 1 u
Total amount that Elijah paid
= 1 u + 4.70 + 1 u
= 2 u + 4.70
2 u + 4.70 = 36.90
2 u = 36.90 - 4.70
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) $10.30; (b) $23