PSLE A book shop is having a book sale.
The 1st book is at 15% 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.
Xylia and Sam each bought two books at the sale.
- Xylia's books were priced at $24 and $24. How much did she pay for them?
- Sam paid a total of $54.85 for his two books. He paid $11.45 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% $24 |
|
Discount |
- 15% |
- 30% |
|
Sale price |
85% |
70% |
? |
(a)
Selling price of the 1st book
= 85% x 24
=
85100 x 24
= $20.40
Selling price of 2nd book
= 70% x 24
=
70100 x 24
= $16.80
Total amount that Xylia paid
= 20.40 + 16.80
= $37.20
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 15% |
- 30% |
|
Sale price |
85%
|
70%
|
|
Compare 1st book and 2nd book |
1 u + $11.45 |
1 u |
$54.85 |
(b)
Sale price of the 1st book = 1 u + 11.45
Sale price of the 2nd book = 1 u
Total amount that Sam paid
= 1 u + 11.45 + 1 u
= 2 u + 11.45
2 u + 11.45 = 54.85
2 u = 54.85 - 11.45
2 u = 43.40
1 u = 43.40 ÷ 2 = 21.70
Sale price of the 2nd book = $21.70
70% of the price = $21.70
100% of the price =
21.7070 x 100 = $31
Selling price of the 2nd book before discount = $31
Answer(s): (a) $37.20; (b) $31