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Math · Grade 7 Math

Chapter 3: Percent Problems in the World

Tax, Tips, and Markup

Adding a percent on top.

Lesson
2
Time
About 18 minutes
0 of 7 done

Step 1: Let's Learn

Read it, or press Listen and follow the words.

A 20% tip on £40 is 20% of 40, which is £8, added on to give £48.

The two-step way

Find the percent, then add it to the original.

The one-step way

The total is 100% + 20% = 120% of the original, so multiply by 1.2 straight away.

Both are right

The multiplier is faster and matters later, because it can be undone by dividing.

Adding a percent on top

A £40 meal with a 15% tip costs 40 + 6 = £46. Or multiply directly: 40 × 1.15 = 46. The multiplier method is one step instead of two and is much quicker when several items are involved.

Working out a tip mentally

10% is the bill with the digits shifted one place right. Half of that is 5%. So 15% is 10% plus 5%: for £40, that is 4 + 2 = £6. Building from 10% is how most people do this in a restaurant, and it is genuinely fast.

Markup is the same calculation

A shop buying at £30 and marking up 40% sells at 30 × 1.4 = £42. Tax, tips, markup, service charges and commission are all one percentage increase, differing only in what the money is for.

Does the order matter?

Applying tax then a tip, or a tip then tax, gives the same total, because multiplying by 1.2 and 1.15 in either order gives the same product. Multiplication is commutative — a property that turns out to have real financial consequences.

Step 2: Try It Yourself

The original amount and the part added on top.

The original, with the added percent beside it.
original and added on
the total

The hatched bar is the piece the story is asking for.

Step 3: Watch an Example

One step at a time.

Watch Ana Add a Tip

A meal costs £40 and Ana leaves a 15% tip.

  1. Step 1

    She finds 10% by moving the digits: £4.

Step 4: Your Turn

Practice makes it stick.

The Bill

Problem 1 of 2

A £60 bill with a 10% tip. What is the total, in pounds?

The Tax

Problem 2 of 2

A £200 item with 20% tax added. What is the total, in pounds?

Add It On

1 of 4

£50 with 10% added. Total in pounds?

2 of 4

£80 with 25% added. Total in pounds?

3 of 4

What multiplier adds 30%?

4 of 4

£120 with 5% added. Total in pounds?

Step 5: Quick Check

Show what you know.

Question 1 of 1

£90 with 20% added. Total in pounds?

What You Learned

  • A tip, a tax, and a markup are all a percent of the original added on.
  • Adding p% means multiplying by 1 + p/100.
  • The multiplier does it in one step and can be undone later.