How to Pass Numerical Reasoning (31 page)

Both percentages are recognizable as common fractions, so express both as fractions and multiply by the whole number (80). (You can also find 20% of 12.5% (= 2.5%) and multiply by the whole number, 80.)

Q6
Answer
= 60

25% = ¼, so you know that 15 = ¼
x
(where
x
= the whole number). To solve the equation for a whole number, multiply both sides by the inverse of the fraction.

Q7
Answer
= 200

To solve the equation for a whole number, multiply both sides by the inverse of the fraction:

Reduce the equation to its simplest terms:

Q8
Answer
= 32

Convert the percentage to its decimal equivalent: 32% = 0.32. Multiply by the whole number (60) to find the percentage to find the part:

Percentage

×

Whole

=

Part

0.32

×

60

=

19.2

So you know that 19.2 = 60% of a new whole number
x
. Solve for
x
by setting up the percentage as a fraction over 100 and cross-multiply:

60x = 19.2 × 100 = 1920. Divide both sides by 60:

Q9
Answer
= 150

To solve the equation for a whole number, multiply both sides by the inverse of the fraction:

Q10
Answer
= 128

To solve the equation for a whole number, multiply both sides by the inverse of the fraction:

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