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When 65 percent of a number is subtracted from itself, then the result becomes square root of 784. What is the number?
1. 96
2. 56
3. 64
4. 80

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Correct Answer - Option 4 : 80

Given:

When 65% of the number is subtracted from itself, the result becomes square root of 784

Concept Used:

Concept of percentage. It is calculated on the basis of 100.

For example, x% means x out of 100

Calculation:

Let, the number be x

65% of x = 65x/100 = 0.65x

Accordingly,

x – 0.65x = √784

⇒ 0.35x = 28

⇒ x = 28/0.35

⇒ x = (28 × 100)/35 = 80

∴ The required number is 80.

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