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.
Marion and Peter each bought two books at the sale.
- Marion's books were priced at $18 and $31. How much less did she pay for the 2nd book than the 1st book?
- Peter paid a total of $47.65 for his two books. He paid $9.95 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% $31 |
100% $18 |
|
Discount |
- 20% |
- 35% |
|
Sale price |
80% |
65% |
? |
(a)
Selling price of the 1st book
= 80% x 31
=
80100 x 31
= $24.80
Selling price of 2nd book
= 65% x 18
=
65100 x 18
= $11.70
Amount that Marion paid less for the 2nd book than the 1st book
= 24.80 - 11.70
= $13.10
|
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 + $9.95 |
1 u |
$47.65 |
(b)
Sale price of the 1st book = 1 u + 9.95
Sale price of the 2nd book = 1 u
Total amount that Peter paid
= 1 u + 9.95 + 1 u
= 2 u + 9.95
2 u + 9.95 = 47.65
2 u = 47.65 - 9.95
2 u = 37.70
1 u = 37.70 ÷ 2 = 18.85
Sale price of the 1st book
= 1 u + 9.95
= $28.80
80% of the price = $28.80
100% of the price =
28.8080 x 100 = $36
Selling price of the 1st book before discount = $36
Answer(s): (a) $13.10; (b) $36