PSLE A stationery kiosk 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.
Jen and Archie each bought two books at the sale.
- Jen's books were priced at $23 and $38. How much did she pay for them?
- Archie paid a total of $56.10 for his two books. He paid $8.50 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% $38 |
100% $23 |
|
Discount |
- 5% |
- 15% |
|
Sale price |
95% |
85% |
? |
(a)
Selling price of the 1st book
= 95% x 38
=
95100 x 38
= $36.10
Selling price of 2nd book
= 85% x 23
=
85100 x 23
= $19.55
Total amount that Jen paid
= 36.10 + 19.55
= $55.65
|
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 + $8.50 |
1 u |
$56.10 |
(b)
Sale price of the 1st book = 1 u + 8.50
Sale price of the 2nd book = 1 u
Total amount that Archie paid
= 1 u + 8.50 + 1 u
= 2 u + 8.50
2 u + 8.50 = 56.10
2 u = 56.10 - 8.50
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) $55.65; (b) $28