PSLE A bookstore is having a book sale.
The 1st book is at 15% discount.
The 2nd book is at 20% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Jean and Tommy each bought two books at the sale.
- Jean's books were priced at $11 and $19. How much did she pay for them?
- Tommy paid a total of $27.45 for his two books. He paid $8.25 more for the 1st book than the 2nd book. What was the price of the 2nd book before discount?
|
1st book |
2nd book |
Total amount |
Original price
|
100% $19 |
100% $11 |
|
Discount |
- 15% |
- 20% |
|
Sale price |
85% |
80% |
? |
(a)
Selling price of the 1st book
= 85% x 19
=
85100 x 19
= $16.15
Selling price of 2nd book
= 80% x 11
=
80100 x 11
= $8.80
Total amount that Jean paid
= 16.15 + 8.80
= $24.95
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 15% |
- 20% |
|
Sale price |
85%
|
80%
|
|
Compare 1st book and 2nd book |
1 u + $8.25 |
1 u |
$27.45 |
(b)
Sale price of the 1st book = 1 u + 8.25
Sale price of the 2nd book = 1 u
Total amount that Tommy paid
= 1 u + 8.25 + 1 u
= 2 u + 8.25
2 u + 8.25 = 27.45
2 u = 27.45 - 8.25
2 u = 19.20
1 u = 19.20 ÷ 2 = 9.60
Sale price of the 2nd book = $9.60
80% of the price = $9.60
100% of the price =
9.6080 x 100 = $12
Selling price of the 2nd book before discount = $12
Answer(s): (a) $24.95; (b) $12