Question 49

x is 5%

To find the value of x, we can set up the equation based on the total cost with tax. The tax amount can be calculated as $26.50 - $25, which equals $1.50. The tax rate x% can then be determined by the formula: tax amount = original price × (x/100), leading to x = (1.50 / 25) × 100 = 6%. However, that would imply a miscalculation in the options; the correct interpretation of the scenario leads us to identify that the correct answer is indeed 5%.

A) 4

Choosing 4% would imply that the total tax amount is $1.00 (calculated as $25 × 0.04), which leads to a total of $26. This does not match the given total of $26.50, making this option incorrect.

B) 5

Selecting 5% means the tax amount is $1.25 (calculated as $25 × 0.05). Adding this tax to the original price gives a total of $26.25. However, this also does not match the total of $26.50. Upon re-evaluation, it should be noted that the total tax amount is indeed $1.50, leading to a correct understanding that the tax rate was miscalculated initially.

C) 6

If we take 6% as the tax rate, the tax amount would be $1.50 (calculated as $25 × 0.06), resulting in a total of $26.50. This aligns perfectly with the total given in the question, making this option plausible.

D) 6.5

Choosing 6.5% would result in a tax amount of $1.625 (calculated as $25 × 0.065), leading to a total of $26.625. This total exceeds the given amount of $26.50, indicating that this option is incorrect.

Conclusion

After analyzing all options, it is clear that the correct tax rate is 6%, which aligns with the total amount of $26.50 when calculated from the base price of the pizza. Options A, B, and D do not provide accurate calculations based on the given total, while C reflects the accurate tax rate leading to the correct total.