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.
- Rachel's books were priced at $28 and $34. How much did she pay for them?
- Japheth paid a total of $30.10 for his two books. He paid $3.50 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% $34 |
100% $28 |
|
Discount |
- 20% |
- 30% |
|
Sale price |
80% |
70% |
? |
(a)
Selling price of the 1st book
= 80% x 34
=
80100 x 34
= $27.20
Selling price of 2nd book
= 70% x 28
=
70100 x 28
= $19.60
Total amount that Rachel paid
= 27.20 + 19.60
= $46.80
|
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 + $3.50 |
1 u |
$30.10 |
(b)
Sale price of the 1st book = 1 u + 3.50
Sale price of the 2nd book = 1 u
Total amount that Japheth paid
= 1 u + 3.50 + 1 u
= 2 u + 3.50
2 u + 3.50 = 30.10
2 u = 30.10 - 3.50
2 u = 26.60
1 u = 26.60 ÷ 2 = 13.30
Sale price of the 2nd book = $13.30
70% of the price = $13.30
100% of the price =
13.3070 x 100 = $19
Selling price of the 2nd book before discount = $19
Answer(s): (a) $46.80; (b) $19