If P is 40% less than Q, then Q is how much percentage more than P?

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SSC GD Previous Paper 1 (Held On: 11 Feb 2019 Shift 1)
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  1. 40%
  2. 66.66%
  3. 60%
  4. 33.33%

Answer (Detailed Solution Below)

Option 2 : 66.66%
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Detailed Solution

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Given:

P is 40% less than Q.

Shortcut Trick

40% = 2/5

So, Q is 2/(5-2) × 100 = 2/3 × 100 = 66.66% more than P.

∴ Q is 66.66% more than P.

Calculation:

Let, Q = 100y

So, P = 100y × (100 - 40)/100 = 100y × 60/100 = 60y

Now,

(Q – P)/P × 100 = 40y/60y × 100  = 66.66%

∴ Q is 66.66% more than P.

Additional Information

If A is 20% less than B,

So,

B is 20/(100 - 20) × 100 = 20/80 × 100 = 25% more than A

Similarly,

If B is 25% more than A,

So,

A is 25/(100 + 25) × 100 = 25/125 × 100 = 20% less than B.

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