PSLE A stationery 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.
Ivory and Xavier each bought two books at the sale.
- Ivory's books were priced at $8 and $13. How much did she pay for them?
- Xavier paid a total of $46.65 for his two books. He paid $6.05 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% $8 |
|
Discount |
- 15% |
- 30% |
|
Sale price |
85% |
70% |
? |
(a)
Selling price of the 1st book
= 85% x 13
=
85100 x 13
= $11.05
Selling price of 2nd book
= 70% x 8
=
70100 x 8
= $5.60
Total amount that Ivory paid
= 11.05 + 5.60
= $16.65
|
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 + $6.05 |
1 u |
$46.65 |
(b)
Sale price of the 1st book = 1 u + 6.05
Sale price of the 2nd book = 1 u
Total amount that Xavier paid
= 1 u + 6.05 + 1 u
= 2 u + 6.05
2 u + 6.05 = 46.65
2 u = 46.65 - 6.05
2 u = 40.60
1 u = 40.60 ÷ 2 = 20.30
Sale price of the 2nd book = $20.30
70% of the price = $20.30
100% of the price =
20.3070 x 100 = $29
Selling price of the 2nd book before discount = $29
Answer(s): (a) $16.65; (b) $29