PSLE A shop is having a book sale.
The 1st book is at 20% 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.
Emily and Sean each bought two books at the sale.
- Emily's books were priced at $24 and $33. How much did she pay for them?
- Sean paid a total of $55.60 for his two books. He paid $5.20 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% $33 |
100% $24 |
|
Discount |
- 20% |
- 30% |
|
Sale price |
80% |
70% |
? |
(a)
Selling price of the 1st book
= 80% x 33
=
80100 x 33
= $26.40
Selling price of 2nd book
= 70% x 24
=
70100 x 24
= $16.80
Total amount that Emily paid
= 26.40 + 16.80
= $43.20
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 20% |
- 30% |
|
Sale price |
80%
|
70%
|
|
Compare 1st book and 2nd book |
1 u + $5.20 |
1 u |
$55.60 |
(b)
Sale price of the 1st book = 1 u + 5.20
Sale price of the 2nd book = 1 u
Total amount that Sean paid
= 1 u + 5.20 + 1 u
= 2 u + 5.20
2 u + 5.20 = 55.60
2 u = 55.60 - 5.20
2 u = 50.40
1 u = 50.40 ÷ 2 = 25.20
Sale price of the 2nd book = $25.20
70% of the price = $25.20
100% of the price =
25.2070 x 100 = $36
Selling price of the 2nd book before discount = $36
Answer(s): (a) $43.20; (b) $36