PSLE A stationery kiosk is having a book sale.
The 1st book is at 5% discount.
The 2nd book is at 10% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Gabby and Ryan each bought two books at the sale.
- Gabby's books were priced at $13 and $13. How much more did she pay for the 1st book than the 2nd book?
- Ryan paid a total of $44.65 for his two books. He paid $10.45 more for the 1st book than for the 2nd book. What was the price of the 1st book before discount?
|
1st book |
2nd book |
Total amount |
Original price
|
100% $13 |
100% $13 |
|
Discount |
- 5% |
- 10% |
|
Sale price |
95% |
90% |
? |
(a)
Selling price of the 1st book
= 95% x 13
=
95100 x 13
= $12.35
Selling price of 2nd book
= 90% x 13
=
90100 x 13
= $11.70
Amount that Gabby paid more for the 1st book than the 2nd book
= 12.35 - 11.70
= $0.65
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 5% |
- 10% |
|
Sale price |
95%
|
90%
|
|
Compare 1st book and 2nd book |
1 u + $10.45 |
1 u |
$44.65 |
(b)
Sale price of the 1st book = 1 u + 10.45
Sale price of the 2nd book = 1 u
Total amount that Ryan paid
= 1 u + 10.45 + 1 u
= 2 u + 10.45
2 u + 10.45 = 44.65
2 u = 44.65 - 10.45
2 u = 34.20
1 u = 34.20 ÷ 2 = 17.10
Sale price of the 1st book
= 1 u + 10.45
= $27.55
95% of the price = $27.55
100% of the price =
27.5595 x 100 = $29
Selling price of the 1st book before discount = $29
Answer(s): (a) $0.65; (b) $29