Question

a barber shop was charging $4.26 for a bottle of shampoo but raised the price 6%. the new price after the increase is $4.52. which expression shows how the new price was calculated?
a) (4.26 × 6) ÷ 100 + 4.26
b) 4.26 + 0.06
c) 4.26 + 1.06
d) 4.26 × 0.06

Explanation:

Step1: Understand Percentage Increase

To find a 6% increase on a price, first calculate 6% of the original price, then add it to the original price. 6% as a decimal is $\frac{6}{100} = 0.06$, so 6% of $4.26$ is $4.26\times0.06$ (or equivalently $(4.26\times6)\div100$). Then add this to the original price $4.26$.

Step2: Analyze Each Option

• Option A: $(4.26\times6)\div100$ calculates 6% of 4.26, then adding 4.26 gives the new price. This matches the method.
• Option B: Adding 0.06 (not 6% of 4.26) to 4.26 is incorrect.
• Option C: Adding 1.06 (not related to 6% increase) to 4.26 is incorrect.
• Option D: $4.26\times0.06$ only calculates the increase, not the new price.

Answer:

A. $(4.26 × 6) ÷ 100 + 4.26$