PSLE A shop is having a book sale.
The 1st book is at 15% 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.
Erika and Ahmad each bought two books at the sale.
- Erika's books were priced at $36 and $38. How much did she pay for them?
- Ahmad paid a total of $26.30 for his two books. He paid $9.40 more for the 1st book than the 2nd book. What was the price of the 2nd book before discount?
|
1st book |
2nd book |
Total amount |
Original price
|
100% $38 |
100% $36 |
|
Discount |
- 15% |
- 35% |
|
Sale price |
85% |
65% |
? |
(a)
Selling price of the 1st book
= 85% x 38
=
85100 x 38
= $32.30
Selling price of 2nd book
= 65% x 36
=
65100 x 36
= $23.40
Total amount that Erika paid
= 32.30 + 23.40
= $55.70
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 15% |
- 35% |
|
Sale price |
85%
|
65%
|
|
Compare 1st book and 2nd book |
1 u + $9.40 |
1 u |
$26.30 |
(b)
Sale price of the 1st book = 1 u + 9.40
Sale price of the 2nd book = 1 u
Total amount that Ahmad paid
= 1 u + 9.40 + 1 u
= 2 u + 9.40
2 u + 9.40 = 26.30
2 u = 26.30 - 9.40
2 u = 16.90
1 u = 16.90 ÷ 2 = 8.45
Sale price of the 2nd book = $8.45
65% of the price = $8.45
100% of the price =
8.4565 x 100 = $13
Selling price of the 2nd book before discount = $13
Answer(s): (a) $55.70; (b) $13