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.
Jen and George each bought two books at the sale.
- Jen's books were priced at $6 and $15. How much did she pay for them?
- George paid a total of $45.15 for his two books. He paid $9.95 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% $15 |
100% $6 |
|
Discount |
- 5% |
- 20% |
|
Sale price |
95% |
80% |
? |
(a)
Selling price of the 1st book
= 95% x 15
=
95100 x 15
= $14.25
Selling price of 2nd book
= 80% x 6
=
80100 x 6
= $4.80
Total amount that Jen paid
= 14.25 + 4.80
= $19.05
|
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 + $9.95 |
1 u |
$45.15 |
(b)
Sale price of the 1st book = 1 u + 9.95
Sale price of the 2nd book = 1 u
Total amount that George paid
= 1 u + 9.95 + 1 u
= 2 u + 9.95
2 u + 9.95 = 45.15
2 u = 45.15 - 9.95
2 u = 35.20
1 u = 35.20 ÷ 2 = 17.60
Sale price of the 2nd book = $17.60
80% of the price = $17.60
100% of the price =
17.6080 x 100 = $22
Selling price of the 2nd book before discount = $22
Answer(s): (a) $19.05; (b) $22