PSLE A stationery shop is having a book sale.
The 1st book is at 15% discount.
The 2nd book is at 30% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Nicole and Luke each bought two books at the sale.
- Nicole's books were priced at $16 and $29. How much more did she pay for the 1st book than the 2nd book?
- Luke paid a total of $30.20 for his two books. He paid $10.60 more for the 1st book than for the 2nd book. What was the price of the 1st book before discount?
|
1st book |
2nd book |
Total amount |
Original price
|
100% $29 |
100% $16 |
|
Discount |
- 15% |
- 30% |
|
Sale price |
85% |
70% |
? |
(a)
Selling price of the 1st book
= 85% x 29
=
85100 x 29
= $24.65
Selling price of 2nd book
= 70% x 16
=
70100 x 16
= $11.20
Amount that Nicole paid more for the 1st book than the 2nd book
= 24.65 - 11.20
= $13.45
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 15% |
- 30% |
|
Sale price |
85%
|
70%
|
|
Compare 1st book and 2nd book |
1 u + $10.60 |
1 u |
$30.20 |
(b)
Sale price of the 1st book = 1 u + 10.60
Sale price of the 2nd book = 1 u
Total amount that Luke paid
= 1 u + 10.60 + 1 u
= 2 u + 10.60
2 u + 10.60 = 30.20
2 u = 30.20 - 10.60
2 u = 19.60
1 u = 19.60 ÷ 2 = 9.80
Sale price of the 1st book
= 1 u + 10.60
= $20.40
85% of the price = $20.40
100% of the price =
20.4085 x 100 = $24
Selling price of the 1st book before discount = $24
Answer(s): (a) $13.45; (b) $24