Name : ____________________ Date : _____________
Score : _____________
Write down your correct answer and show your workings:
1) The cost of a camera and
a watch was $2200.
The usual price of the camera was 20% more than its cost and the usual
price of the watch was 10% more than its cost.
During a promotion, both items were given a 10% discount of their usual
price.
As a result, there was a profit of $131. What was the cost of the camera?
Ans: ____________________
2) An aquarium owner sold
98 rainbow fish on the first day and earned a profit of $44.10 for each
of the rainbow fish sold.
On the second day, 133 rainbow fish were sold and the aquarium owner gained
a profit of 40% of the cost.
If the money collected on both days were the same, how much did each rainbow
fish cost?
Ans: ____________________
3) Danny had $156 more than
Esther.
After
Danny had spent 1/6 of his money and Esther spent 1/2 of her money,
Danny
had $245 more than Esther.
How much
money did Danny have at first?
Ans: ____________________
4) The ratio of John's cards
to Ben's cards was 3:4
After John bought another 9 cards and Ben lost 18 cards, the ratio was
3:2
Find the total number of cards they had at first respectively.?
Ans: ____________________
5) A concrete mixer has a
mixture of cement and sand.
If 5.3 litres of cement were added, 75% of the mixture would be sand.
If 57.8litres of cement were added, 40% of the content will be sand.
Find the volume of cement in the mixture.
Ans: ____________________
Answers:
1)
Camera
Cost Price ------ 100 units
Usual Price ----- 120 units
Promotion price ------108 units
Watch
Cost Price ------ 100 parts
Usual Price ----- 110 parts
Promotion price ------ 99 parts
100 units + 100 parts ------ 2200
108 units + 99 parts ------ 2331
1 unit + 1 part ------ 22
9 units + 99 units + 99 parts ----- 2331
9 units + (99*22) ------ 2331
1 unit ----- 17 (Workings: (2331 - 2178) / 9)
Hence 1 part -----5
Cost of camera = 17 x 100 = 1700
2)
First day
Profit earned ------ 98 x 44.10 ------ 4321.80
Second day
CP per fish ----- 10 units
SP per fish ----- 14 units
Total selling price -----133 x 14 ------ 1862 units
1862 units ----- 980 units + 4321.8
1 unit ----- 4.9
CP per fish = 4.9 x 10 = 49
3)
1u 1u 1u 1u
1u 1u Danny mony left =
5u + $130
Danny 26 26
26 26 26 26
156 / 6 = $26
Esther 1u 1u 1u 1u 1u 1u Esther money left = 3u
In the end, Danny had $245 more than Esther.
So, 5u + $130 = 3u + $245
2u = $115
At first, Danny had 6u + $156
= 3 x $115 + $156
= $501
Danny had $501 at first.
4)
J:B
3u:4u
+9:-18
3p:2p
3u+9=3P
4u-18=2p
Hence 6u+18=6p
12u-54=6p
6u+18=12+54
U=12
J=3*12=36
B=4*12=48
5)
7u = 52.5 L
1u = 7.5 L
Volume of cement in mixer
= 2u - 5.3 L
= 15 L - 5.3 L
= 9.7 L