PSLE A stationery 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 Reggie each bought two books at the sale.
- Betty's books were priced at $26 and $29. How much did she pay for them?
- Reggie paid a total of $33.25 for his two books. He paid $6.65 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% $29 |
100% $26 |
|
Discount |
- 5% |
- 30% |
|
Sale price |
95% |
70% |
? |
(a)
Selling price of the 1st book
= 95% x 29
=
95100 x 29
= $27.55
Selling price of 2nd book
= 70% x 26
=
70100 x 26
= $18.20
Total amount that Betty paid
= 27.55 + 18.20
= $45.75
|
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 + $6.65 |
1 u |
$33.25 |
(b)
Sale price of the 1st book = 1 u + 6.65
Sale price of the 2nd book = 1 u
Total amount that Reggie paid
= 1 u + 6.65 + 1 u
= 2 u + 6.65
2 u + 6.65 = 33.25
2 u = 33.25 - 6.65
2 u = 26.60
1 u = 26.60 ÷ 2 = 13.30
Sale price of the 2nd book = $13.30
70% of the price = $13.30
100% of the price =
13.3070 x 100 = $19
Selling price of the 2nd book before discount = $19
Answer(s): (a) $45.75; (b) $19