PSLE A store is having a book sale.
The 1st book is at 10% 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.
Nicole and Jack each bought two books at the sale.
- Nicole's books were priced at $27 and $35. How much did she pay for them?
- Jack paid a total of $47.40 for his two books. He paid $13.80 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% $35 |
100% $27 |
|
Discount |
- 10% |
- 30% |
|
Sale price |
90% |
70% |
? |
(a)
Selling price of the 1st book
= 90% x 35
=
90100 x 35
= $31.50
Selling price of 2nd book
= 70% x 27
=
70100 x 27
= $18.90
Total amount that Nicole paid
= 31.50 + 18.90
= $50.40
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 10% |
- 30% |
|
Sale price |
90%
|
70%
|
|
Compare 1st book and 2nd book |
1 u + $13.80 |
1 u |
$47.40 |
(b)
Sale price of the 1st book = 1 u + 13.80
Sale price of the 2nd book = 1 u
Total amount that Jack paid
= 1 u + 13.80 + 1 u
= 2 u + 13.80
2 u + 13.80 = 47.40
2 u = 47.40 - 13.80
2 u = 33.60
1 u = 33.60 ÷ 2 = 16.80
Sale price of the 2nd book = $16.80
70% of the price = $16.80
100% of the price =
16.8070 x 100 = $24
Selling price of the 2nd book before discount = $24
Answer(s): (a) $50.40; (b) $24