PSLE A shop is having a book sale. The 1st book is at 15% 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.
- Marion's books were priced at $10 and $21. How much did she pay for them?
- Oliver paid a total of $29.75 for his two books. He paid $7.65 more for the 1st book than the 2nd book. What was the price of the 2nd book before discount?
|
1st book |
2nd book |
Total amount |
Original price
|
100% $21 |
100% $10 |
|
Discount |
- 15% |
- 35% |
|
Sale price |
85% |
65% |
? |
(a)
Selling price of the 1st book
= 85% x 21
=
85100 x 21
= $17.85
Selling price of 2nd book
= 65% x 10
=
65100 x 10
= $6.50
Total amount that Marion paid
= 17.85 + 6.50
= $24.35
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 15% |
- 35% |
|
Sale price |
85%
|
65%
|
|
Compare 1st book and 2nd book |
1 u + $7.65 |
1 u |
$29.75 |
(b)
Sale price of the 1st book = 1 u + 7.65
Sale price of the 2nd book = 1 u
Total amount that Oliver paid
= 1 u + 7.65 + 1 u
= 2 u + 7.65
2 u + 7.65 = 29.75
2 u = 29.75 - 7.65
2 u = 22.10
1 u = 22.10 ÷ 2 = 11.05
Sale price of the 2nd book = $11.05
65% of the price = $11.05
100% of the price =
11.0565 x 100 = $17
Selling price of the 2nd book before discount = $17
Answer(s): (a) $24.35; (b) $17