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.
Zoe and Elijah each bought two books at the sale.
- Zoe's books were priced at $39 and $39. How much did she pay for them?
- Elijah paid a total of $56.20 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% $39 |
|
Discount |
- 10% |
- 15% |
|
Sale price |
90% |
85% |
? |
(a)
Selling price of the 1st book
= 90% x 39
=
90100 x 39
= $35.10
Selling price of 2nd book
= 85% x 39
=
85100 x 39
= $33.15
Total amount that Zoe paid
= 35.10 + 33.15
= $68.25
|
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 + $8.60 |
1 u |
$56.20 |
(b)
Sale price of the 1st book = 1 u + 8.60
Sale price of the 2nd book = 1 u
Total amount that Elijah paid
= 1 u + 8.60 + 1 u
= 2 u + 8.60
2 u + 8.60 = 56.20
2 u = 56.20 - 8.60
2 u = 47.60
1 u = 47.60 ÷ 2 = 23.80
Sale price of the 2nd book = $23.80
85% of the price = $23.80
100% of the price =
23.8085 x 100 = $28
Selling price of the 2nd book before discount = $28
Answer(s): (a) $68.25; (b) $28