PSLE A store is having a book sale.
The 1st book is at 5% discount.
The 2nd book is at 40% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Lucy and Tom each bought two books at the sale.
- Lucy's books were priced at $29 and $31. How much did she pay for them?
- Tom paid a total of $34.20 for his two books. He paid $11.40 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% $31 |
100% $29 |
|
Discount |
- 5% |
- 40% |
|
Sale price |
95% |
60% |
? |
(a)
Selling price of the 1st book
= 95% x 31
=
95100 x 31
= $29.45
Selling price of 2nd book
= 60% x 29
=
60100 x 29
= $17.40
Total amount that Lucy paid
= 29.45 + 17.40
= $46.85
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 5% |
- 40% |
|
Sale price |
95%
|
60%
|
|
Compare 1st book and 2nd book |
1 u + $11.40 |
1 u |
$34.20 |
(b)
Sale price of the 1st book = 1 u + 11.40
Sale price of the 2nd book = 1 u
Total amount that Tom paid
= 1 u + 11.40 + 1 u
= 2 u + 11.40
2 u + 11.40 = 34.20
2 u = 34.20 - 11.40
2 u = 22.80
1 u = 22.80 ÷ 2 = 11.40
Sale price of the 2nd book = $11.40
60% of the price = $11.40
100% of the price =
11.4060 x 100 = $19
Selling price of the 2nd book before discount = $19
Answer(s): (a) $46.85; (b) $19