PSLE A stationery shop is having a book sale.
The 1st book is at 10% 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.
Kimberly and Simon each bought two books at the sale.
- Kimberly's books were priced at $27 and $35. How much did she pay for them?
- Simon paid a total of $39.55 for his two books. He paid $7.25 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% $35 |
100% $27 |
|
Discount |
- 10% |
- 15% |
|
Sale price |
90% |
85% |
? |
(a)
Selling price of the 1st book
= 90% x 35
=
90100 x 35
= $31.50
Selling price of 2nd book
= 85% x 27
=
85100 x 27
= $22.95
Total amount that Kimberly paid
= 31.50 + 22.95
= $54.45
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 10% |
- 15% |
|
Sale price |
90%
|
85%
|
|
Compare 1st book and 2nd book |
1 u + $7.25 |
1 u |
$39.55 |
(b)
Sale price of the 1st book = 1 u + 7.25
Sale price of the 2nd book = 1 u
Total amount that Simon paid
= 1 u + 7.25 + 1 u
= 2 u + 7.25
2 u + 7.25 = 39.55
2 u = 39.55 - 7.25
2 u = 32.30
1 u = 32.30 ÷ 2 = 16.15
Sale price of the 2nd book = $16.15
85% of the price = $16.15
100% of the price =
16.1585 x 100 = $19
Selling price of the 2nd book before discount = $19
Answer(s): (a) $54.45; (b) $19