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BECE Mathematics 2020 Paper
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© africaexams.com
Question : 10
Total: 40
A trader sold a radio set for GH₵ 72.00 making a profit of 8%. Find, correct to the nearest Ghana cedi, the cost of the radio
set.
GH₵ 66.00
GH₵ 67.00
GH₵ 77.00
GH₵ 78.00
Validate
Solution:
Profit = Selling Price - Cost Price
Profit Percent = Profit/Cost Price x 100
Since Profit = Selling Price - Cost Price, substituting it in the second equation,
Profit Percent = (Selling Price - Cost Price)/Cost Price × 100
Profit percent = 8
Selling Price = 72
Let Cost Price = CP
⇒
8
=
(
72
−
C
P
)
∕
C
P
×
100
⇒
8
=
(
72
−
C
P
)
∕
C
P
×
100
Multiplying both sides by CP
8
×
C
P
=
(
72
−
C
P
)
×
100
(
72
−
C
P
)
×
100
=
72
×
100
−
C
P
×
100
=
7200
−
100
C
P
8
×
C
P
=
(
72
−
C
P
)
×
100
⇒
8
C
P
=
7200
−
100
C
P
Moving the -100 CP to the left size
⇒
8
C
P
+
100
C
P
=
7200
108
C
P
=
7200
Dividing both sides by 108
C
P
=
7200
∕
108
=
66.666667
=
67
(Nearest whole number)
© africaexams.com
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