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Arithmetical Reasoning · IB ACIO · Question 42 of 52

Arithmetical Reasoning: A number is first decreased by 20% and then increased by 25%. The final result is 90. Find the original number.

Step-by-step solution. Arithmetical Reasoning for IB ACIO.

Topic
Arithmetical Reasoning
Subject
Reasoning
Difficulty
medium
Solve Time
45-60 sec

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Q · Arithmetical Reasoningmedium · 45s

A number is first decreased by 20% and then increased by 25%. The final result is 90. Find the original number.

TopicArithmetical Reasoning
Question Typemultiple choice
Difficultymedium
Marking+1 / −0.25
Test Duration30 min

Step-by-Step Solution

The complete worked solution.

Every step explained - no skipped algebra.

Let the original number = x

After 20% decrease → 80% of x = 0.8x

After 25% increase → 0.8x × 1.25 = 90

So, 1.0x = 90

x = 90

Final Answer: Option B - 90
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