If 6% of x = 2.4, then x = ?

Rationale

x equals 40.

The equation 6% of x = 2.4 is a simple algebraic problem. It can be solved by dividing the given number (2.4) by the percentage (converted to a decimal), which is 0.06. The result gives you the value of x.

A (4) YOUR ANSWER

If x was 4, then 6% of 4 would be 0.24, not 2.4. Thus, this cannot be the correct answer.

B (0.144) YOUR ANSWER

If x was 0.144, then 6% of 0.144 would be 0.00864, which is also not equal to 2.4. Hence, this is not the correct answer.

C (40) CORRECT

If x is 40, then 6% of 40 equals 2.4. This is the correct answer as it satisfies the given equation.

D (1.44) YOUR ANSWER

If x was 1.44, then 6% of 1.44 would be 0.0864, which is not equal to 2.4. This option is therefore incorrect.

Conclusion

By solving the equation 6% of x = 2.4, we found that the only value of x that satisfies this equation is 40. Other options (4, 0.144, and 1.44) when substituted into the equation give results that are not equal to 2.4, thus they are incorrect. The key to solving such problems is to correctly convert the percentage into a decimal and then divide the given number by this decimal to find the unknown value.

If 6% of x = 2.4, then x = ?

x equals 40.

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