The cost of apples is increased by 20% and then decreased by 20%. What is the net pecentage decrease?

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SSC CGL 2022 Tier-I Official Paper (Held On : 03 Dec 2022 Shift 4)
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  1. 4%
  2. 3%
  3. 5%
  4. 6%

Answer (Detailed Solution Below)

Option 1 : 4%
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PYST 1: SSC CGL - General Awareness (Held On : 20 April 2022 Shift 2)
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Detailed Solution

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Given:

The cost of apples is increased by 20% and then decreased by 20%.

Calculation:

Let the price of apples be Rs. 100

After increase it is 100 × 120%

⇒ Rs. 120

After decrease it is 120 × 80%

⇒ Rs. 96

So, decrease = 100 - 96

⇒ Rs. 4

% of decrease = (4/100) × 100

⇒ 4%

∴ The net percentage decrease is 4%.

Shortcut Trick

  Before After
20% increase 5 6
20% decrease 5 4
Net 25 24

So, net pecentage decrease 1/25 × 100 = 4%

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