2. Percentages
A is x% less than B, A is y% less than C. C is k% more than B. Express k
in terms of x and y.
(a)
(y – x)100
100 − y
(b)
(y + x)100
100 − y
(c)
(y – x)100
100 − x
(d)
(y – x)100
100 + y
3. Percentages
A = B 1 −
x
100
-------- Equation (1)
A = C 1 −
y
100
-------- Equation (2)
C = B 1 +
k
100
-------- Equation (3)
A is x% less than B, A is y% less than C. C is k% more than B. Express k
in terms of x and y.
4. Percentages
Substituting equations (1) and (3) in (2), we get
B 1 +
k
100
1 −
y
100
= B 1 −
x
100
1 +
k
100
-
y
100
-
ky
1002 = 1 −
x
100
k
100
1 −
y
100
=
y − x
100
k =
(y − x) 100
100 − y
. Answer Choice (a)
A is x% less than B, A is y% less than C. C is k% more than B. Express k
in terms of x and y.
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