PSLE A book shop is having a book sale.
The 1st book is at 20% 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.
Kylie and Glen each bought two books at the sale.
- Kylie's books were priced at $26 and $32. How much did she pay for them?
- Glen paid a total of $47.40 for his two books. He paid $10.20 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% $32 |
100% $26 |
|
Discount |
- 20% |
- 40% |
|
Sale price |
80% |
60% |
? |
(a)
Selling price of the 1st book
= 80% x 32
=
80100 x 32
= $25.60
Selling price of 2nd book
= 60% x 26
=
60100 x 26
= $15.60
Total amount that Kylie paid
= 25.60 + 15.60
= $41.20
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 20% |
- 40% |
|
Sale price |
80%
|
60%
|
|
Compare 1st book and 2nd book |
1 u + $10.20 |
1 u |
$47.40 |
(b)
Sale price of the 1st book = 1 u + 10.20
Sale price of the 2nd book = 1 u
Total amount that Glen paid
= 1 u + 10.20 + 1 u
= 2 u + 10.20
2 u + 10.20 = 47.40
2 u = 47.40 - 10.20
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) $41.20; (b) $31