PSLE A book shop is having a book sale.
The 1st book is at 5% discount.
The 2nd book is at 20% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Raeann and Ethan each bought two books at the sale.
- Raeann's books were priced at $7 and $18. How much did she pay for them?
- Ethan paid a total of $38.15 for his two books. He paid $9.35 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% $18 |
100% $7 |
|
Discount |
- 5% |
- 20% |
|
Sale price |
95% |
80% |
? |
(a)
Selling price of the 1st book
= 95% x 18
=
95100 x 18
= $17.10
Selling price of 2nd book
= 80% x 7
=
80100 x 7
= $5.60
Total amount that Raeann paid
= 17.10 + 5.60
= $22.70
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 5% |
- 20% |
|
Sale price |
95%
|
80%
|
|
Compare 1st book and 2nd book |
1 u + $9.35 |
1 u |
$38.15 |
(b)
Sale price of the 1st book = 1 u + 9.35
Sale price of the 2nd book = 1 u
Total amount that Ethan paid
= 1 u + 9.35 + 1 u
= 2 u + 9.35
2 u + 9.35 = 38.15
2 u = 38.15 - 9.35
2 u = 28.80
1 u = 28.80 ÷ 2 = 14.40
Sale price of the 2nd book = $14.40
80% of the price = $14.40
100% of the price =
14.4080 x 100 = $18
Selling price of the 2nd book before discount = $18
Answer(s): (a) $22.70; (b) $18