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.
Xandra and Michael each bought two books at the sale.
- Xandra's books were priced at $13 and $24. How much did she pay for them?
- Michael paid a total of $44.10 for his two books. He paid $12.90 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% $24 |
100% $13 |
|
Discount |
- 5% |
- 35% |
|
Sale price |
95% |
65% |
? |
(a)
Selling price of the 1st book
= 95% x 24
=
95100 x 24
= $22.80
Selling price of 2nd book
= 65% x 13
=
65100 x 13
= $8.45
Total amount that Xandra paid
= 22.80 + 8.45
= $31.25
|
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 + $12.90 |
1 u |
$44.10 |
(b)
Sale price of the 1st book = 1 u + 12.90
Sale price of the 2nd book = 1 u
Total amount that Michael paid
= 1 u + 12.90 + 1 u
= 2 u + 12.90
2 u + 12.90 = 44.10
2 u = 44.10 - 12.90
2 u = 31.20
1 u = 31.20 ÷ 2 = 15.60
Sale price of the 2nd book = $15.60
65% of the price = $15.60
100% of the price =
15.6065 x 100 = $24
Selling price of the 2nd book before discount = $24
Answer(s): (a) $31.25; (b) $24