PSLE A stationery kiosk is having a book sale. The 1st book is at 5% discount. The 2nd book is at 30% discount. The price of the 2nd book should be equal or lower than the price of the 1st book.
- Gem's books were priced at $12 and $27. How much did she pay for them?
- Liam paid a total of $50.95 for his two books. He paid $11.75 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% $27 |
100% $12 |
|
Discount |
- 5% |
- 30% |
|
Sale price |
95% |
70% |
? |
(a)
Selling price of the 1st book
= 95% x 27
=
95100 x 27
= $25.65
Selling price of 2nd book
= 70% x 12
=
70100 x 12
= $8.40
Total amount that Gem paid
= 25.65 + 8.40
= $34.05
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 5% |
- 30% |
|
Sale price |
95%
|
70%
|
|
Compare 1st book and 2nd book |
1 u + $11.75 |
1 u |
$50.95 |
(b)
Sale price of the 1st book = 1 u + 11.75
Sale price of the 2nd book = 1 u
Total amount that Liam paid
= 1 u + 11.75 + 1 u
= 2 u + 11.75
2 u + 11.75 = 50.95
2 u = 50.95 - 11.75
2 u = 39.20
1 u = 39.20 ÷ 2 = 19.60
Sale price of the 2nd book = $19.60
70% of the price = $19.60
100% of the price =
19.6070 x 100 = $28
Selling price of the 2nd book before discount = $28
Answer(s): (a) $34.05; (b) $28