PSLE A book shop is having a book sale.
The 1st book is at 5% 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.
Anna and Elijah each bought two books at the sale.
- Anna's books were priced at $7 and $19. How much did she pay for them?
- Elijah paid a total of $51.05 for his two books. He paid $7.85 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% $7 |
|
Discount |
- 5% |
- 20% |
|
Sale price |
95% |
80% |
? |
(a)
Selling price of the 1st book
= 95% x 19
=
95100 x 19
= $18.05
Selling price of 2nd book
= 80% x 7
=
80100 x 7
= $5.60
Total amount that Anna paid
= 18.05 + 5.60
= $23.65
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 5% |
- 20% |
|
Sale price |
95%
|
80%
|
|
Compare 1st book and 2nd book |
1 u + $7.85 |
1 u |
$51.05 |
(b)
Sale price of the 1st book = 1 u + 7.85
Sale price of the 2nd book = 1 u
Total amount that Elijah paid
= 1 u + 7.85 + 1 u
= 2 u + 7.85
2 u + 7.85 = 51.05
2 u = 51.05 - 7.85
2 u = 43.20
1 u = 43.20 ÷ 2 = 21.60
Sale price of the 2nd book = $21.60
80% of the price = $21.60
100% of the price =
21.6080 x 100 = $27
Selling price of the 2nd book before discount = $27
Answer(s): (a) $23.65; (b) $27