PSLE A book shop is having a book sale.
The 1st book is at 10% discount.
The 2nd book is at 25% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Nicole and Glen each bought two books at the sale.
- Nicole's books were priced at $9 and $17. How much did she pay for them?
- Glen paid a total of $49.05 for his two books. He paid $8.55 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% $17 |
100% $9 |
|
Discount |
- 10% |
- 25% |
|
Sale price |
90% |
75% |
? |
(a)
Selling price of the 1st book
= 90% x 17
=
90100 x 17
= $15.30
Selling price of 2nd book
= 75% x 9
=
75100 x 9
= $6.75
Total amount that Nicole paid
= 15.30 + 6.75
= $22.05
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 10% |
- 25% |
|
Sale price |
90%
|
75%
|
|
Compare 1st book and 2nd book |
1 u + $8.55 |
1 u |
$49.05 |
(b)
Sale price of the 1st book = 1 u + 8.55
Sale price of the 2nd book = 1 u
Total amount that Glen paid
= 1 u + 8.55 + 1 u
= 2 u + 8.55
2 u + 8.55 = 49.05
2 u = 49.05 - 8.55
2 u = 40.50
1 u = 40.50 ÷ 2 = 20.25
Sale price of the 2nd book = $20.25
75% of the price = $20.25
100% of the price =
20.2575 x 100 = $27
Selling price of the 2nd book before discount = $27
Answer(s): (a) $22.05; (b) $27