PSLE A stationery shop is having a book sale.
The 1st book is at 5% 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.
Penelope and Jeremy each bought two books at the sale.
- Penelope's books were priced at $9 and $18. How much did she pay for them?
- Jeremy paid a total of $39.85 for his two books. He paid $7.65 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% $18 |
100% $9 |
|
Discount |
- 5% |
- 30% |
|
Sale price |
95% |
70% |
? |
(a)
Selling price of the 1st book
= 95% x 18
=
95100 x 18
= $17.10
Selling price of 2nd book
= 70% x 9
=
70100 x 9
= $6.30
Total amount that Penelope paid
= 17.10 + 6.30
= $23.40
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 5% |
- 30% |
|
Sale price |
95%
|
70%
|
|
Compare 1st book and 2nd book |
1 u + $7.65 |
1 u |
$39.85 |
(b)
Sale price of the 1st book = 1 u + 7.65
Sale price of the 2nd book = 1 u
Total amount that Jeremy paid
= 1 u + 7.65 + 1 u
= 2 u + 7.65
2 u + 7.65 = 39.85
2 u = 39.85 - 7.65
2 u = 32.20
1 u = 32.20 ÷ 2 = 16.10
Sale price of the 2nd book = $16.10
70% of the price = $16.10
100% of the price =
16.1070 x 100 = $23
Selling price of the 2nd book before discount = $23
Answer(s): (a) $23.40; (b) $23