PSLE A stationery kiosk is having a book sale.
The 1st book is at 10% 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.
Pamela and Harry each bought two books at the sale.
- Pamela's books were priced at $26 and $27. How much did she pay for them?
- Harry paid a total of $50.75 for his two books. He paid $10.45 less for the 2nd book than the 1st book. What was the price of the 2nd book before discount?
|
1st book |
2nd book |
Total amount |
Original price
|
100% $27 |
100% $26 |
|
Discount |
- 10% |
- 35% |
|
Sale price |
90% |
65% |
? |
(a)
Selling price of the 1st book
= 90% x 27
=
90100 x 27
= $24.30
Selling price of 2nd book
= 65% x 26
=
65100 x 26
= $16.90
Total amount that Pamela paid
= 24.30 + 16.90
= $41.20
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 10% |
- 35% |
|
Sale price |
90%
|
65%
|
|
Compare 1st book and 2nd book |
1 u + $10.45 |
1 u |
$50.75 |
(b)
Sale price of the 1st book = 1 u + 10.45
Sale price of the 2nd book = 1 u
Total amount that Harry paid
= 1 u + 10.45 + 1 u
= 2 u + 10.45
2 u + 10.45 = 50.75
2 u = 50.75 - 10.45
2 u = 40.30
1 u = 40.30 ÷ 2 = 20.15
Sale price of the 2nd book = $20.15
65% of the price = $20.15
100% of the price =
20.1565 x 100 = $31
Selling price of the 2nd book before discount = $31
Answer(s): (a) $41.20; (b) $31