PSLE A store is having a book sale. The 1st book is at 5% discount. The 2nd book is at 10% discount. The price of the 2nd book should be equal or lower than the price of the 1st book.
- Xuan's books were priced at $18 and $18. How much did she pay for them?
- Paul paid a total of $50.20 for his two books. He paid $10.60 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% $18 |
100% $18 |
|
Discount |
- 5% |
- 10% |
|
Sale price |
95% |
90% |
? |
(a)
Selling price of the 1st book
= 95% x 18
=
95100 x 18
= $17.10
Selling price of 2nd book
= 90% x 18
=
90100 x 18
= $16.20
Total amount that Xuan paid
= 17.10 + 16.20
= $33.30
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 5% |
- 10% |
|
Sale price |
95%
|
90%
|
|
Compare 1st book and 2nd book |
1 u + $10.60 |
1 u |
$50.20 |
(b)
Sale price of the 1st book = 1 u + 10.60
Sale price of the 2nd book = 1 u
Total amount that Paul paid
= 1 u + 10.60 + 1 u
= 2 u + 10.60
2 u + 10.60 = 50.20
2 u = 50.20 - 10.60
2 u = 39.60
1 u = 39.60 ÷ 2 = 19.80
Sale price of the 2nd book = $19.80
90% of the price = $19.80
100% of the price =
19.8090 x 100 = $22
Selling price of the 2nd book before discount = $22
Answer(s): (a) $33.30; (b) $22