PSLE A shop is having a book sale. The 1st book is at 10% 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.
- Abi's books were priced at $14 and $29. How much did she pay for them?
- Mark paid a total of $45.30 for his two books. He paid $14.10 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% $29 |
100% $14 |
|
Discount |
- 10% |
- 40% |
|
Sale price |
90% |
60% |
? |
(a)
Selling price of the 1st book
= 90% x 29
=
90100 x 29
= $26.10
Selling price of 2nd book
= 60% x 14
=
60100 x 14
= $8.40
Total amount that Abi paid
= 26.10 + 8.40
= $34.50
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 10% |
- 40% |
|
Sale price |
90%
|
60%
|
|
Compare 1st book and 2nd book |
1 u + $14.10 |
1 u |
$45.30 |
(b)
Sale price of the 1st book = 1 u + 14.10
Sale price of the 2nd book = 1 u
Total amount that Mark paid
= 1 u + 14.10 + 1 u
= 2 u + 14.10
2 u + 14.10 = 45.30
2 u = 45.30 - 14.10
2 u = 31.20
1 u = 31.20 ÷ 2 = 15.60
Sale price of the 2nd book = $15.60
60% of the price = $15.60
100% of the price =
15.6060 x 100 = $26
Selling price of the 2nd book before discount = $26
Answer(s): (a) $34.50; (b) $26