If 40% of a number is added to 960, the result is the same number. Find 40% of that number.

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  1. 960
  2. 660
  3. 640
  4. 1600

Answer (Detailed Solution Below)

Option 3 : 640
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Detailed Solution

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Given:

40% of a number + 960 = The number

Calculation:

Let the number be x.

0.40 × x + 960 = x

\(\Rightarrow\) 0.40x + 960 = x

\(\Rightarrow\) 960 = x - 0.40x

\(\Rightarrow\) 960 = 0.60x

\(\Rightarrow\) x = 960 / 0.60

\(\Rightarrow\) x = 9600 / 6

\(\Rightarrow\) x = 1600

The number is 1600.

40% of that number:

40% of 1600 = 0.40 × 1600

40% of 1600 = 640

40% of that number is 640.

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