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Lesson · Economics

When the rate falls but the level rises

The growth rate dropped in the table, and you are unsure whether the amount dropped too.

A falling growth rate means the level is rising more slowly. The level itself falls only when the growth rate is negative.

This lesson is part of reading national economic indicators carefully. The same idea appears in interpreting inflation data, where a lower inflation rate still means higher prices.

How can the rate fall while the level rises?

The rate compares each change with the level before it. A smaller percentage of a bigger level can still add a large amount.

Always separate two claims: what happened to the rate, and what happened to the level. Write them as two short statements so they cannot be mixed.

Worked example: a fictional export series

A fictional country’s exports are RM50 billion in Year 1, RM60 billion in Year 2 and RM66 billion in Year 3.

Growth in Year 2. (60 − 50) ÷ 50 × 100 = 20%.

Growth in Year 3. (66 − 60) ÷ 60 × 100 = 10%.

The rate halved from 20% to 10%. Yet exports rose in both years, by RM10 billion and then RM6 billion. The level is higher in Year 3 than in any earlier year.

Year Exports Rise in level Growth rate
Year 1 RM50 billion not given not given
Year 2 RM60 billion RM10 billion 20%
Year 3 RM66 billion RM6 billion 10%

A sentence that uses both ideas reads: “The growth rate of exports slowed from 20% to 10%, but exports still rose from RM60 billion to RM66 billion.”

The mistake that costs marks

The common slip is to read “growth fell from 20% to 10%” as “exports fell”. It sounds close to the table’s wording, so it is easy to write without noticing.

The exports fell only if the Year 3 figure were below RM60 billion. Compare the actual levels, or check whether the rate is below zero.

Claim Wrong reading Right reading
Rate 20% to 10% Exports fell Exports still rose, more slowly
Level check Not done RM66 billion is above RM60 billion

When does the level really fall?

Only a negative rate lowers the level. Suppose Year 4 exports are RM62.7 billion. Then (62.7 − 66) ÷ 66 × 100 = −5%. A negative sign is the signal, and the level is below the earlier level by RM3.3 billion.

Check yourself

The number of unemployed people in a fictional district is 4 000 in Year 1, 4 400 in Year 2 and 4 620 in Year 3. Find the rate of change each year and describe the trend. In Year 4 the number is 4 389. Find that rate and say what it shows.

Answer

Year 2: 400 ÷ 4 000 × 100 = 10%. Year 3: 220 ÷ 4 400 × 100 = 5%.

The growth rate of the number of unemployed halved, yet the number still rose by 400 and then by 220. There were more unemployed people each year, only more slowly.

Year 4: (4 389 − 4 620) ÷ 4 620 × 100 = −231 ÷ 4 620 × 100 = −5%. A negative rate means the number of unemployed fell, by 231.

What to study next

Next is identifying the population and period before comparing two indicator values. Practise with the graph evidence and fair-comparison lab and the cluster practice set.

If you want a teacher to check how you word this, see online one-to-one Economics tuition.

Common questions

If the growth rate falls, has the value fallen?

Not unless the rate is negative. A positive rate, even a smaller one, still adds to the level. The value rises more slowly. It falls only when the growth rate is below zero.

Why does the same rate give a bigger amount later?

The rate is applied to the earlier value. When that value is larger, the same percentage is a bigger number of ringgit or units. That is why the level can keep rising quickly even when the rate is steady.

How do I write this in an answer?

Use a pair of sentences: the growth rate slowed from one figure to another, and the level still rose by a stated amount, because the rate stayed positive. Give the level in the original units.

Does this apply to inflation and unemployment too?

Yes. A lower inflation rate means prices still rise, only more slowly. A lower growth in the number of unemployed still means more people unemployed, unless the number itself falls.

If rate-and-level wording keeps slipping in your written answers, one-to-one Economics tuition lets a teacher give you a fresh table each time and listen to how you describe it.

  • Online one-to-one lessons for your child with an experienced teacher.
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