PSLE A shop is having a book sale.
The 1st book is at 5% 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.
Gabby and Paul each bought two books at the sale.
- Gabby's books were priced at $8 and $21. How much did she pay for them?
- Paul paid a total of $31.95 for his two books. He paid $9.85 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% $21 |
100% $8 |
|
Discount |
- 5% |
- 35% |
|
Sale price |
95% |
65% |
? |
(a)
Selling price of the 1st book
= 95% x 21
=
95100 x 21
= $19.95
Selling price of 2nd book
= 65% x 8
=
65100 x 8
= $5.20
Total amount that Gabby paid
= 19.95 + 5.20
= $25.15
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 5% |
- 35% |
|
Sale price |
95%
|
65%
|
|
Compare 1st book and 2nd book |
1 u + $9.85 |
1 u |
$31.95 |
(b)
Sale price of the 1st book = 1 u + 9.85
Sale price of the 2nd book = 1 u
Total amount that Paul paid
= 1 u + 9.85 + 1 u
= 2 u + 9.85
2 u + 9.85 = 31.95
2 u = 31.95 - 9.85
2 u = 22.10
1 u = 22.10 ÷ 2 = 11.05
Sale price of the 2nd book = $11.05
65% of the price = $11.05
100% of the price =
11.0565 x 100 = $17
Selling price of the 2nd book before discount = $17
Answer(s): (a) $25.15; (b) $17