Name : ____________________ Date : _____________
Score : _____________
Write down your correct answer and show your workings:
1) The ratio of Roy's
money to Samuel's money was 15 : 4.
Roy spent $450 and Samuel received $120.
The new ratio of Roy's money to Samuels money became 5:2.
How much money did Roy have at first?
2) Mr Lim spent $1496
on some comics and dictionaries altogether.
The number of comics bought to the number of dictionaries bought was in
the ratio of 3 : 2.
A dictionary cost $4 more than a comic.
The total cost of the comics was 20% more than the total cost of the dictionaries.
Find the cost of a dictionary.
3) During a warehouse book
sale, Sally spent 62.5% of her money on 24 books and 18 pens.
She also spent 25% of her remaining money on 18 files.
Each pen costs 8/9 as much as the price of one book.
The file costs $7.80 less than a book.
Find the total cost of one book and one pen.
4) Linda brought along
$60 to buy a certain number of files.
There was a sale in the bookshop and a discount of 20% was given to all
items.
As a result, Linda was able to buy 6 more files than she would have without
the discount.
(a) How many files did Linda buy with the discount given?
(b) What was the price of each file before the discount?
5) A had 240 cards and B
had 360 cards at first.
After selling an equal number of cards, the number of cards B had left
to number of cards A had left was 1 :3.
How many cards did each of them sell?
Answers:
1)
2)
3)
4)
20% of $60 is $12.
6 files -> $12
So the cost of 1 file after discount is 12/6 = 2
The total number of files bought after discount is 60/2 = 30
If there is no discount, the number of files she could
buy is 30-6 =24.
So the cost of the file before discount is 60/24 = 2.5
(a) 30
(b) $2.50
5)
If x = number of cards sold
=> (240-x) / (360-x) = 1 / 3
=> 3 (240-x) = 360-x
=> 720-3x = 360-x
=> 2x = 360
=> x = 180
Each of them sold 180 cards.