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.
- Winnie's books were priced at $17 and $32. How much did she pay for them?
- Nick paid a total of $43.70 for his two books. He paid $5.90 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% $17 |
|
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 17
=
70100 x 17
= $11.90
Total amount that Winnie paid
= 25.60 + 11.90
= $37.50
|
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 + $5.90 |
1 u |
$43.70 |
(b)
Sale price of the 1st book = 1 u + 5.90
Sale price of the 2nd book = 1 u
Total amount that Nick paid
= 1 u + 5.90 + 1 u
= 2 u + 5.90
2 u + 5.90 = 43.70
2 u = 43.70 - 5.90
2 u = 37.80
1 u = 37.80 ÷ 2 = 18.90
Sale price of the 2nd book = $18.90
70% of the price = $18.90
100% of the price =
18.9070 x 100 = $27
Selling price of the 2nd book before discount = $27
Answer(s): (a) $37.50; (b) $27