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BECE Mathematics 2023 Paper
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© africaexams.com
Question : 34
Total: 40
A book was sold for GH₵ 48.00 at a profit of 20%. Find the cost price.
GH₵ 38.40
GH₵ 40.00
GH₵ 60.00
GH₵ 57.00
Validate
Solution:
Method I
Profit %
=
Profit
Cost Price
×
100
%
Selling Price
=
Cost Price + Profit
Profit
=
Selling Price - Cost Price
Profit
%
=
Selling Price
−
Cost Price
Cost Price
×
100
%
Let
c
=
Cost
Price
Profit
%
=
Selling Price
−
c
c
×
100
%
Selling Price
=
GH₵ 48.00
20
=
48
−
c
c
×
100
20
=
48
×
100
−
c
×
100
c
20
=
4800
−
100
c
c
Multiply both sides by c
20
×
c
=
4800
−
100
c
20
c
+
100
c
=
4800
120
c
=
4800
Divide both sides by 120 for
c
to stand alone.
c
=
4800
120
=
40
Note: The zeros in 4800 and 120 cancel each other. 12 divides itself once and 480, 40 times.
Cost Price
=
GH
₵
40
Method II
Selling Price
=
Cost Price + Profit
Selling Price % = Cost Price % + Profit %
Cost Price %
=
100
%
Selling Price % = 100% + Profit %
Profit %
=
20
%
Selling Price %
=
100
%
+
20
%
Selling Price %
=
120
%
Selling Price
=
GH₵ 48
If
120
%
=
GH₵ 48
100
%
=
GH
₵
48
×
100
%
120
%
=
GH
₵
40
© africaexams.com
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