PSLE A shop is having a book sale.
The 1st book is at 5% 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.
Betty and Albert each bought two books at the sale.
- Betty's books were priced at $13 and $28. How much did she pay for them?
- Albert paid a total of $32.10 for his two books. He paid $9.70 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% $28 |
100% $13 |
|
Discount |
- 5% |
- 30% |
|
Sale price |
95% |
70% |
? |
(a)
Selling price of the 1st book
= 95% x 28
=
95100 x 28
= $26.60
Selling price of 2nd book
= 70% x 13
=
70100 x 13
= $9.10
Total amount that Betty paid
= 26.60 + 9.10
= $35.70
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 5% |
- 30% |
|
Sale price |
95%
|
70%
|
|
Compare 1st book and 2nd book |
1 u + $9.70 |
1 u |
$32.10 |
(b)
Sale price of the 1st book = 1 u + 9.70
Sale price of the 2nd book = 1 u
Total amount that Albert paid
= 1 u + 9.70 + 1 u
= 2 u + 9.70
2 u + 9.70 = 32.10
2 u = 32.10 - 9.70
2 u = 22.40
1 u = 22.40 ÷ 2 = 11.20
Sale price of the 2nd book = $11.20
70% of the price = $11.20
100% of the price =
11.2070 x 100 = $16
Selling price of the 2nd book before discount = $16
Answer(s): (a) $35.70; (b) $16