PSLE A stationery kiosk is having a book sale.
The 1st book is at 15% 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.
Joelle and Valen each bought two books at the sale.
- Joelle's books were priced at $16 and $17. How much more did she pay for the 1st book than the 2nd book?
- Valen paid a total of $43.90 for his two books. He paid $8.80 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% $17 |
100% $16 |
|
Discount |
- 15% |
- 35% |
|
Sale price |
85% |
65% |
? |
(a)
Selling price of the 1st book
= 85% x 17
=
85100 x 17
= $14.45
Selling price of 2nd book
= 65% x 16
=
65100 x 16
= $10.40
Amount that Joelle paid more for the 1st book than the 2nd book
= 14.45 - 10.40
= $4.05
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 15% |
- 35% |
|
Sale price |
85%
|
65%
|
|
Compare 1st book and 2nd book |
1 u + $8.80 |
1 u |
$43.90 |
(b)
Sale price of the 1st book = 1 u + 8.80
Sale price of the 2nd book = 1 u
Total amount that Valen paid
= 1 u + 8.80 + 1 u
= 2 u + 8.80
2 u + 8.80 = 43.90
2 u = 43.90 - 8.80
2 u = 35.10
1 u = 35.10 ÷ 2 = 17.55
Sale price of the 1st book
= 1 u + 8.80
= $26.35
85% of the price = $26.35
100% of the price =
26.3585 x 100 = $31
Selling price of the 1st book before discount = $31
Answer(s): (a) $4.05; (b) $31