# 30% of number is 86 less than seven-ninth of that number, what is the number?

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30% of number is 86 less than seven-ninth of that number, what is the number?
1. 100
2. 180
3. 90
4. 120

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Correct Answer - Option 2 : 180

Given:

30% of a number + 86 = seven-ninth of that number

Calculation:

Let, the total number = x

According to the question,

⇒ ((30/100)×x)  + 86  = (7/9)× x

⇒ 86 = (7x/9) – (3x/10)

⇒ (43x/90) = 86

⇒ x = 180

∴ Required number = 180