PSLE A stationery shop is having a book sale.
The 1st book is at 5% 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.
Gabby and Rael each bought two books at the sale.
- Gabby's books were priced at $18 and $33. How much did she pay for them?
- Rael paid a total of $41.60 for his two books. He paid $5.90 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% $33 |
100% $18 |
|
Discount |
- 5% |
- 15% |
|
Sale price |
95% |
85% |
? |
(a)
Selling price of the 1st book
= 95% x 33
=
95100 x 33
= $31.35
Selling price of 2nd book
= 85% x 18
=
85100 x 18
= $15.30
Total amount that Gabby paid
= 31.35 + 15.30
= $46.65
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 5% |
- 15% |
|
Sale price |
95%
|
85%
|
|
Compare 1st book and 2nd book |
1 u + $5.90 |
1 u |
$41.60 |
(b)
Sale price of the 1st book = 1 u + 5.90
Sale price of the 2nd book = 1 u
Total amount that Rael paid
= 1 u + 5.90 + 1 u
= 2 u + 5.90
2 u + 5.90 = 41.60
2 u = 41.60 - 5.90
2 u = 35.70
1 u = 35.70 ÷ 2 = 17.85
Sale price of the 2nd book = $17.85
85% of the price = $17.85
100% of the price =
17.8585 x 100 = $21
Selling price of the 2nd book before discount = $21
Answer(s): (a) $46.65; (b) $21