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SAT Math skill page

SAT Percent Change Practice

Set percent change against the original amount, not the new amount.

10-16 min practice time 3 examples on page Problem Solving and Data Analysis
Practice time 10-16 min
On-page examples 3 examples
Best for Problem Solving and Data Analysis

What this tests

What to know for this SAT skill

Practice examples

Try a few SAT-style questions

Example 1 Easy

A $40 item is discounted by 25%. What is the sale price?

  1. $10
  2. $25
  3. $30
  4. $35
Show answer and explanation

Answer: $30

25% of 40 is 10, so the discounted price is 40 - 10 = 30.

Example 2 Medium

A value increases from 80 to 100. What is the percent increase?

  1. 20%
  2. 25%
  3. 80%
  4. 125%
Show answer and explanation

Answer: 25%

The increase is 20, and 20/80 = 0.25 = 25%.

Example 3 Hard

After a 20% increase, a price is $72. What was the original price?

  1. $54
  2. $57.60
  3. $60
  4. $90
Show answer and explanation

Answer: $60

The final price is 120% of the original. 72 / 1.2 = 60.

Quick drills

Practice this skill from more angles

Drill 1

Calculate percent increase and decrease

Pause before the answer choices, write the rule or setup you need, then check whether the question is asking for the value, the relationship, or the best-supported conclusion.

Drill 2

Find final values after discounts or markups

Pause before the answer choices, write the rule or setup you need, then check whether the question is asking for the value, the relationship, or the best-supported conclusion.

Drill 3

Work backward to original values

Pause before the answer choices, write the rule or setup you need, then check whether the question is asking for the value, the relationship, or the best-supported conclusion.

Drill 4

Avoid mixing original and final quantities

Pause before the answer choices, write the rule or setup you need, then check whether the question is asking for the value, the relationship, or the best-supported conclusion.

Avoid these traps

Common mistakes on this skill

Solving before naming the task

The SAT often hides the real skill inside familiar wording. Identify the rule, relationship, or question type first.

Choosing an answer that only partly fits

Many wrong answers are close. Check every condition in the question before committing.

Skipping the final check

Reread what the question asks for so you do not answer a nearby but different question.

Study plan

How to practice this skill in Dolphin

  1. Read the question and name the tested skill before looking at the choices.
  2. Write the equation, rule, or passage relationship in plain language.
  3. Eliminate answers that violate the setup or overstate the evidence.
  4. Review misses by writing the exact trap that pulled you toward the wrong answer.
Practice percent change in Dolphin SAT

Related practice

Build the surrounding skills

Skill cluster

Keep practicing SAT Math

FAQ

Questions about SAT Percent Change Practice

What is the best way to practice SAT Percent Change Practice?

Start with a few focused examples, review the mistake pattern, then mix the skill into full SAT practice so you can recognize it in context.

Why does this skill matter on the SAT?

It shows up in short, high-leverage questions where one missed rule or setup can quickly cost a point.

Can Dolphin SAT help me drill this skill?

Yes. Dolphin SAT can surface targeted practice, track missed questions, and help you review the patterns that keep repeating.