PSLE A stationery kiosk 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 $19 and $32. How much did she pay for them?
- Fred paid a total of $48.10 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% $32 |
100% $19 |
|
Discount |
- 20% |
- 30% |
|
Sale price |
80% |
70% |
? |
(a)
Selling price of the 1st book
= 80% x 32
=
80100 x 32
= $25.60
Selling price of 2nd book
= 70% x 19
=
70100 x 19
= $13.30
Total amount that Rachel paid
= 25.60 + 13.30
= $38.90
|
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 |
$48.10 |
(b)
Sale price of the 1st book = 1 u + 4.70
Sale price of the 2nd book = 1 u
Total amount that Fred paid
= 1 u + 4.70 + 1 u
= 2 u + 4.70
2 u + 4.70 = 48.10
2 u = 48.10 - 4.70
2 u = 43.40
1 u = 43.40 ÷ 2 = 21.70
Sale price of the 2nd book = $21.70
70% of the price = $21.70
100% of the price =
21.7070 x 100 = $31
Selling price of the 2nd book before discount = $31
Answer(s): (a) $38.90; (b) $31