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.
Nicole and Wesley each bought two books at the sale.
- Nicole's books were priced at $1 and $15. How much did she pay for them?
- Wesley paid a total of $40.05 for his two books. He paid $11.25 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% $15 |
100% $1 |
|
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 1
=
80100 x 1
= $0.80
Total amount that Nicole paid
= 14.25 + 0.80
= $15.05
|
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 + $11.25 |
1 u |
$40.05 |
(b)
Sale price of the 1st book = 1 u + 11.25
Sale price of the 2nd book = 1 u
Total amount that Wesley paid
= 1 u + 11.25 + 1 u
= 2 u + 11.25
2 u + 11.25 = 40.05
2 u = 40.05 - 11.25
2 u = 28.80
1 u = 28.80 ÷ 2 = 14.40
Sale price of the 2nd book = $14.40
80% of the price = $14.40
100% of the price =
14.4080 x 100 = $18
Selling price of the 2nd book before discount = $18
Answer(s): (a) $15.05; (b) $18