PSLE A shop is having a book sale.
The 1st book is at 25% 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.
Victoria and Albert each bought two books at the sale.
- Victoria's books were priced at $2 and $13. How much did she pay for them?
- Albert paid a total of $22.90 for his two books. He paid $8.60 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% $13 |
100% $2 |
|
Discount |
- 25% |
- 35% |
|
Sale price |
75% |
65% |
? |
(a)
Selling price of the 1st book
= 75% x 13
=
75100 x 13
= $9.75
Selling price of 2nd book
= 65% x 2
=
65100 x 2
= $1.30
Total amount that Victoria paid
= 9.75 + 1.30
= $11.05
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 25% |
- 35% |
|
Sale price |
75%
|
65%
|
|
Compare 1st book and 2nd book |
1 u + $8.60 |
1 u |
$22.90 |
(b)
Sale price of the 1st book = 1 u + 8.60
Sale price of the 2nd book = 1 u
Total amount that Albert paid
= 1 u + 8.60 + 1 u
= 2 u + 8.60
2 u + 8.60 = 22.90
2 u = 22.90 - 8.60
2 u = 14.30
1 u = 14.30 ÷ 2 = 7.15
Sale price of the 2nd book = $7.15
65% of the price = $7.15
100% of the price =
7.1565 x 100 = $11
Selling price of the 2nd book before discount = $11
Answer(s): (a) $11.05; (b) $11