PSLE A stationery shop is having a book sale. The 1st book is at 5% discount. The 2nd book is at 15% discount. The price of the 2nd book should be equal or lower than the price of the 1st book.
- Julie's books were priced at $35 and $39. How much did she pay for them?
- Simon paid a total of $57.90 for his two books. He paid $8.60 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% $39 |
100% $35 |
|
Discount |
- 5% |
- 15% |
|
Sale price |
95% |
85% |
? |
(a)
Selling price of the 1st book
= 95% x 39
=
95100 x 39
= $37.05
Selling price of 2nd book
= 85% x 35
=
85100 x 35
= $29.75
Total amount that Julie paid
= 37.05 + 29.75
= $66.80
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 5% |
- 15% |
|
Sale price |
95%
|
85%
|
|
Compare 1st book and 2nd book |
1 u + $8.60 |
1 u |
$57.90 |
(b)
Sale price of the 1st book = 1 u + 8.60
Sale price of the 2nd book = 1 u
Total amount that Simon paid
= 1 u + 8.60 + 1 u
= 2 u + 8.60
2 u + 8.60 = 57.90
2 u = 57.90 - 8.60
2 u = 49.30
1 u = 49.30 ÷ 2 = 24.65
Sale price of the 2nd book = $24.65
85% of the price = $24.65
100% of the price =
24.6585 x 100 = $29
Selling price of the 2nd book before discount = $29
Answer(s): (a) $66.80; (b) $29