PSLE A book shop is having a book sale. The 1st book is at 5% discount. The 2nd book is at 40% discount. The price of the 2nd book should be equal or lower than the price of the 1st book.
- Eva's books were priced at $9 and $23. How much less did she pay for the 2nd book than the 1st book?
- Vaidev paid a total of $37.30 for his two books. He paid $12.10 more for the 1st book than for the 2nd book. What was the price of the 1st book before discount?
|
1st book |
2nd book |
Total amount |
Original price
|
100% $23 |
100% $9 |
|
Discount |
- 5% |
- 40% |
|
Sale price |
95% |
60% |
? |
(a)
Selling price of the 1st book
= 95% x 23
=
95100 x 23
= $21.85
Selling price of 2nd book
= 60% x 9
=
60100 x 9
= $5.40
Amount that Eva paid less for the 2nd book than the 1st book
= 21.85 - 5.40
= $16.45
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 5% |
- 40% |
|
Sale price |
95%
|
60%
|
|
Compare 1st book and 2nd book |
1 u + $12.10 |
1 u |
$37.30 |
(b)
Sale price of the 1st book = 1 u + 12.10
Sale price of the 2nd book = 1 u
Total amount that Vaidev paid
= 1 u + 12.10 + 1 u
= 2 u + 12.10
2 u + 12.10 = 37.30
2 u = 37.30 - 12.10
2 u = 25.20
1 u = 25.20 ÷ 2 = 12.60
Sale price of the 1st book
= 1 u + 12.10
= $24.70
95% of the price = $24.70
100% of the price =
24.7095 x 100 = $26
Selling price of the 1st book before discount = $26
Answer(s): (a) $16.45; (b) $26