PSLE A book shop is having a book sale.
The 1st book is at 5% discount.
The 2nd book is at 10% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Sabrina and Henry each bought two books at the sale.
- Sabrina's books were priced at $24 and $39. How much did she pay for them?
- Henry paid a total of $49.20 for his two books. He paid $7.80 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% $39 |
100% $24 |
|
Discount |
- 5% |
- 10% |
|
Sale price |
95% |
90% |
? |
(a)
Selling price of the 1st book
= 95% x 39
=
95100 x 39
= $37.05
Selling price of 2nd book
= 90% x 24
=
90100 x 24
= $21.60
Total amount that Sabrina paid
= 37.05 + 21.60
= $58.65
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 5% |
- 10% |
|
Sale price |
95%
|
90%
|
|
Compare 1st book and 2nd book |
1 u + $7.80 |
1 u |
$49.20 |
(b)
Sale price of the 1st book = 1 u + 7.80
Sale price of the 2nd book = 1 u
Total amount that Henry paid
= 1 u + 7.80 + 1 u
= 2 u + 7.80
2 u + 7.80 = 49.20
2 u = 49.20 - 7.80
2 u = 41.40
1 u = 41.40 ÷ 2 = 20.70
Sale price of the 2nd book = $20.70
90% of the price = $20.70
100% of the price =
20.7090 x 100 = $23
Selling price of the 2nd book before discount = $23
Answer(s): (a) $58.65; (b) $23