PSLE A stationery kiosk is having a book sale.
The 1st book is at 25% discount.
The 2nd book is at 30% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Cathy and Asher each bought two books at the sale.
- Cathy's books were priced at $17 and $19. How much did she pay for them?
- Asher paid a total of $45.85 for his two books. He paid $6.65 more for the 1st book than the 2nd book. What was the price of the 2nd book before discount?
|
1st book |
2nd book |
Total amount |
Original price
|
100% $19 |
100% $17 |
|
Discount |
- 25% |
- 30% |
|
Sale price |
75% |
70% |
? |
(a)
Selling price of the 1st book
= 75% x 19
=
75100 x 19
= $14.25
Selling price of 2nd book
= 70% x 17
=
70100 x 17
= $11.90
Total amount that Cathy paid
= 14.25 + 11.90
= $26.15
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 25% |
- 30% |
|
Sale price |
75%
|
70%
|
|
Compare 1st book and 2nd book |
1 u + $6.65 |
1 u |
$45.85 |
(b)
Sale price of the 1st book = 1 u + 6.65
Sale price of the 2nd book = 1 u
Total amount that Asher paid
= 1 u + 6.65 + 1 u
= 2 u + 6.65
2 u + 6.65 = 45.85
2 u = 45.85 - 6.65
2 u = 39.20
1 u = 39.20 ÷ 2 = 19.60
Sale price of the 2nd book = $19.60
70% of the price = $19.60
100% of the price =
19.6070 x 100 = $28
Selling price of the 2nd book before discount = $28
Answer(s): (a) $26.15; (b) $28