A number 30000 is increased successively by 10%, 20% and 30%. Find the total increase percentage.

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  1. 75.6%
  2. 61.6%
  3. 71.6%
  4. 65.6%

Answer (Detailed Solution Below)

Option 3 : 71.6%
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Detailed Solution

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Given:

Initial number (N) = 30000

Increases: 10%, 20%, 30%

Formula used:

New number after increase = N × (1 + increase in %)

Calculation:

After 10% increase:

⇒ 30000 × (1 + 10/100)

⇒ 30000 × 1.10 = 33000

After 20% increase on new number:

⇒ 33000 × (1 + 20/100)

⇒ 33000 × 1.20 = 39600

After 30% increase on new number:

⇒ 39600 × (1 + 30/100)

⇒ 39600 × 1.30 = 51480

Overall increase = 51480 - 30000 = 21480

Percentage increase = (21480 / 30000) × 100

⇒ (21480 / 30000) × 100 = 71.6%

∴ The correct answer is option (3).

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