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.
- Penelope's books were priced at $37 and $39. How much did she pay for them?
- Andy paid a total of $63.15 for his two books. He paid $10.95 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% $37 |
|
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 37
=
90100 x 37
= $33.30
Total amount that Penelope paid
= 37.05 + 33.30
= $70.35
|
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 + $10.95 |
1 u |
$63.15 |
(b)
Sale price of the 1st book = 1 u + 10.95
Sale price of the 2nd book = 1 u
Total amount that Andy paid
= 1 u + 10.95 + 1 u
= 2 u + 10.95
2 u + 10.95 = 63.15
2 u = 63.15 - 10.95
2 u = 52.20
1 u = 52.20 ÷ 2 = 26.10
Sale price of the 2nd book = $26.10
90% of the price = $26.10
100% of the price =
26.1090 x 100 = $29
Selling price of the 2nd book before discount = $29
Answer(s): (a) $70.35; (b) $29