PSLE A shop is having a book sale.
The 1st book is at 25% discount.
The 2nd book is at 30% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Shiyun and Ian each bought two books at the sale.
- Shiyun's books were priced at $7 and $13. How much did she pay for them?
- Ian paid a total of $36.35 for his two books. He paid $4.15 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% $13 |
100% $7 |
|
Discount |
- 25% |
- 30% |
|
Sale price |
75% |
70% |
? |
(a)
Selling price of the 1st book
= 75% x 13
=
75100 x 13
= $9.75
Selling price of 2nd book
= 70% x 7
=
70100 x 7
= $4.90
Total amount that Shiyun paid
= 9.75 + 4.90
= $14.65
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 25% |
- 30% |
|
Sale price |
75%
|
70%
|
|
Compare 1st book and 2nd book |
1 u + $4.15 |
1 u |
$36.35 |
(b)
Sale price of the 1st book = 1 u + 4.15
Sale price of the 2nd book = 1 u
Total amount that Ian paid
= 1 u + 4.15 + 1 u
= 2 u + 4.15
2 u + 4.15 = 36.35
2 u = 36.35 - 4.15
2 u = 32.20
1 u = 32.20 ÷ 2 = 16.10
Sale price of the 2nd book = $16.10
70% of the price = $16.10
100% of the price =
16.1070 x 100 = $23
Selling price of the 2nd book before discount = $23
Answer(s): (a) $14.65; (b) $23