Sharpen your GMAT Quant skills with a focused lesson on Percentages for Problem Solving and Data Sufficiency. Learn quick mental math for percent of, add or subtract percent, translate English to math, and handle percent change. Then apply the rules to three exam-style questions.
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Percentages (GMAT Course, Segment 2–Problem Solving & Data Sufficiency Math Concepts)
Estimating Percentages
1 .Take 10% or 1% of a Number by Shifting Decimal Left 1 or 2 Places
10% of 30.0 is 3.00
2 .Multiply or Divide 10% or 1% Result to Reach Exact Sought Percent
10% × 2 = 20% | 3 × 2 = 6 | 20% of 30 is 6!
Adding or Subtracting Percentages
Adding x percent to a Value = Value(1 + x% as a decimal)
25% more than 40 → 40(1.25) = 50
Subtracting x percent from a Value = Value(1 – x% as a decimal)
25% less than 40 → 40(0.75) = 30
English to Math Translations
“What” : x (variable)
“Is” : =
“Percent” or “%” : ÷ 100 or Shift Decimal Left Two Places
“Of” : Multiply
“Out Of” : Divide
“What Percent” or “x%” : (64&𝑥/100)
What Percent of 10% of 35 is 70?
(64&𝑥/100) × 0.1 × 35 = 70
x × 0.001 × 35 = 70 → Multiply by 1,000
35x = 70,000 → Divide by 35
x = 2,000 → 70 is 2,000 percent of 3.5
Percentages (GMAT Course, Segment 2–Problem Solving & Data Sufficiency Math Concepts)
0:00 Introduction
0:17 Percentages Defined
3:01 English to Math Translations
6:21 Percent Change
8:14 Example 1
11:17 Example 2
17:43 Example 3
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