PSLE A stationery kiosk is having a book sale.
The 1st book is at 20% discount.
The 2nd book is at 35% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Fiona and Elijah each bought two books at the sale.
- Fiona's books were priced at $18 and $32. How much more did she pay for the 1st book than the 2nd book?
- Elijah paid a total of $41.70 for his two books. He paid $7.90 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% $32 |
100% $18 |
|
Discount |
- 20% |
- 35% |
|
Sale price |
80% |
65% |
? |
(a)
Selling price of the 1st book
= 80% x 32
=
80100 x 32
= $25.60
Selling price of 2nd book
= 65% x 18
=
65100 x 18
= $11.70
Amount that Fiona paid more for the 1st book than the 2nd book
= 25.60 - 11.70
= $13.90
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 20% |
- 35% |
|
Sale price |
80%
|
65%
|
|
Compare 1st book and 2nd book |
1 u + $7.90 |
1 u |
$41.70 |
(b)
Sale price of the 1st book = 1 u + 7.90
Sale price of the 2nd book = 1 u
Total amount that Elijah paid
= 1 u + 7.90 + 1 u
= 2 u + 7.90
2 u + 7.90 = 41.70
2 u = 41.70 - 7.90
2 u = 33.80
1 u = 33.80 ÷ 2 = 16.90
Sale price of the 1st book
= 1 u + 7.90
= $24.80
80% of the price = $24.80
100% of the price =
24.8080 x 100 = $31
Selling price of the 1st book before discount = $31
Answer(s): (a) $13.90; (b) $31