PSLE A stationery shop is having a book sale.
The 1st book is at 5% discount.
The 2nd book is at 15% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Abi and Howard each bought two books at the sale.
- Abi's books were priced at $31 and $31. How much did she pay for them?
- Howard paid a total of $57.15 for his two books. He paid $11.25 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% $31 |
100% $31 |
|
Discount |
- 5% |
- 15% |
|
Sale price |
95% |
85% |
? |
(a)
Selling price of the 1st book
= 95% x 31
=
95100 x 31
= $29.45
Selling price of 2nd book
= 85% x 31
=
85100 x 31
= $26.35
Total amount that Abi paid
= 29.45 + 26.35
= $55.80
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 5% |
- 15% |
|
Sale price |
95%
|
85%
|
|
Compare 1st book and 2nd book |
1 u + $11.25 |
1 u |
$57.15 |
(b)
Sale price of the 1st book = 1 u + 11.25
Sale price of the 2nd book = 1 u
Total amount that Howard paid
= 1 u + 11.25 + 1 u
= 2 u + 11.25
2 u + 11.25 = 57.15
2 u = 57.15 - 11.25
2 u = 45.90
1 u = 45.90 ÷ 2 = 22.95
Sale price of the 2nd book = $22.95
85% of the price = $22.95
100% of the price =
22.9585 x 100 = $27
Selling price of the 2nd book before discount = $27
Answer(s): (a) $55.80; (b) $27