PSLE A shop is having a book sale. The 1st book is at 10% discount. The 2nd book is at 35% discount. The price of the 2nd book should be equal or lower than the price of the 1st book.
- Gwen's books were priced at $19 and $27. How much did she pay for them?
- Reggie paid a total of $53.05 for his two books. He paid $15.35 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% $27 |
100% $19 |
|
Discount |
- 10% |
- 35% |
|
Sale price |
90% |
65% |
? |
(a)
Selling price of the 1st book
= 90% x 27
=
90100 x 27
= $24.30
Selling price of 2nd book
= 65% x 19
=
65100 x 19
= $12.35
Total amount that Gwen paid
= 24.30 + 12.35
= $36.65
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 10% |
- 35% |
|
Sale price |
90%
|
65%
|
|
Compare 1st book and 2nd book |
1 u + $15.35 |
1 u |
$53.05 |
(b)
Sale price of the 1st book = 1 u + 15.35
Sale price of the 2nd book = 1 u
Total amount that Reggie paid
= 1 u + 15.35 + 1 u
= 2 u + 15.35
2 u + 15.35 = 53.05
2 u = 53.05 - 15.35
2 u = 37.70
1 u = 37.70 ÷ 2 = 18.85
Sale price of the 2nd book = $18.85
65% of the price = $18.85
100% of the price =
18.8565 x 100 = $29
Selling price of the 2nd book before discount = $29
Answer(s): (a) $36.65; (b) $29