PSLE A shop is having a book sale. The 1st book is at 5% discount. The 2nd book is at 35% discount. The price of the 2nd book should be equal or lower than the price of the 1st book.
- Elyse's books were priced at $17 and $27. How much did she pay for them?
- Vaidev paid a total of $53.10 for his two books. He paid $11.50 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% $27 |
100% $17 |
|
Discount |
- 5% |
- 35% |
|
Sale price |
95% |
65% |
? |
(a)
Selling price of the 1st book
= 95% x 27
=
95100 x 27
= $25.65
Selling price of 2nd book
= 65% x 17
=
65100 x 17
= $11.05
Total amount that Elyse paid
= 25.65 + 11.05
= $36.70
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 5% |
- 35% |
|
Sale price |
95%
|
65%
|
|
Compare 1st book and 2nd book |
1 u + $11.50 |
1 u |
$53.10 |
(b)
Sale price of the 1st book = 1 u + 11.50
Sale price of the 2nd book = 1 u
Total amount that Vaidev paid
= 1 u + 11.50 + 1 u
= 2 u + 11.50
2 u + 11.50 = 53.10
2 u = 53.10 - 11.50
2 u = 41.60
1 u = 41.60 ÷ 2 = 20.80
Sale price of the 2nd book = $20.80
65% of the price = $20.80
100% of the price =
20.8065 x 100 = $32
Selling price of the 2nd book before discount = $32
Answer(s): (a) $36.70; (b) $32