PSLE A stationery kiosk 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.
Joelle and Howard each bought two books at the sale.
- Joelle's books were priced at $26 and $37. How much less did she pay for the 2nd book than the 1st book?
- Howard paid a total of $39.45 for his two books. He paid $3.75 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% $37 |
100% $26 |
|
Discount |
- 10% |
- 15% |
|
Sale price |
90% |
85% |
? |
(a)
Selling price of the 1st book
= 90% x 37
=
90100 x 37
= $33.30
Selling price of 2nd book
= 85% x 26
=
85100 x 26
= $22.10
Amount that Joelle paid less for the 2nd book than the 1st book
= 33.30 - 22.10
= $11.20
|
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 + $3.75 |
1 u |
$39.45 |
(b)
Sale price of the 1st book = 1 u + 3.75
Sale price of the 2nd book = 1 u
Total amount that Howard paid
= 1 u + 3.75 + 1 u
= 2 u + 3.75
2 u + 3.75 = 39.45
2 u = 39.45 - 3.75
2 u = 35.70
1 u = 35.70 ÷ 2 = 17.85
Sale price of the 1st book
= 1 u + 3.75
= $21.60
90% of the price = $21.60
100% of the price =
21.6090 x 100 = $24
Selling price of the 1st book before discount = $24
Answer(s): (a) $11.20; (b) $24