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Mathematics

If A is 20% less than B, then B is :

  1. 20% more than A

  2. 25% less than A

  3. 20% less than A

  4. 25% more than A

Percent & Percentage

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Answer

Let the value of B be 100.

A is 20% less than B.

∴ A = 100−20100 - 20% x 100

⇒ A = 100−20100×100100 - \dfrac{20}{100} \times 100

⇒ A = 100−20100 - 20

⇒ A = 8080

B's percentage = B’s value - A’s valueA’s value×100\dfrac{\text{B's value - A's value}}{\text{A's value}} \times 100%

= (100−80)80×100\dfrac{(100 - 80)}{80} \times 100%

= 2080×100\dfrac{20}{80} \times 100%

= 14×100\dfrac{1}{4} \times 100%

= 1004\dfrac{100}{4}%

= 25%

Hence, option 4 is the correct option.

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