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Question

The number 4 is increased by a% to 5. Then the obtained number 5 is decreased by b% to 4 . Which of the following is true for the relationship between a and b?

A
a > b
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B
a < b
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C
a = b
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Solution

The correct option is A a > b

Step 1: Solving for a
Given, the number 4 is increased by a% to reach 5.

4 is increaded by a% = 4 + 4a4+4a=5 4a=54 4a=1 a=14

a=Percenatge increased
a=14×100 =0.25×100 =25%

Step 2: Solving for b
Given, the number 5 is decreased by b% to reach 5.

5 is decreaded by b% = 5 - 5b5+5b=4 5b=54 5b=1 b=15

b=Percenatge decreased
b=15×100 =0.2×100 =20%

a=25%, b=20%
Option a is correct: a > b

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