PSLE A book shop 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.
Wendy and Liam each bought two books at the sale.
- Wendy's books were priced at $19 and $26. How much did she pay for them?
- Liam paid a total of $52.80 for his two books. He paid $15.60 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% $26 |
100% $19 |
|
Discount |
- 5% |
- 40% |
|
Sale price |
95% |
60% |
? |
(a)
Selling price of the 1st book
= 95% x 26
=
95100 x 26
= $24.70
Selling price of 2nd book
= 60% x 19
=
60100 x 19
= $11.40
Total amount that Wendy paid
= 24.70 + 11.40
= $36.10
|
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 + $15.60 |
1 u |
$52.80 |
(b)
Sale price of the 1st book = 1 u + 15.60
Sale price of the 2nd book = 1 u
Total amount that Liam paid
= 1 u + 15.60 + 1 u
= 2 u + 15.60
2 u + 15.60 = 52.80
2 u = 52.80 - 15.60
2 u = 37.20
1 u = 37.20 ÷ 2 = 18.60
Sale price of the 2nd book = $18.60
60% of the price = $18.60
100% of the price =
18.6060 x 100 = $31
Selling price of the 2nd book before discount = $31
Answer(s): (a) $36.10; (b) $31