Multiple choice

A shopkeeper bought a shirt for $'k' and marked its price at 20% profit. He sold the shirt to Brandam at 10% discount. Brandam also paid 5% sales tax. Which of the following represents the total amount (in $) Brandam paid to the shopkeeper in terms of k?

  1. (1.25)(0.9)k

  2. (1.05)(1.1)k

  3. (1.3)(1.1)k

  4. (1.05)(1.08)k
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Cost = k. Marked Price = 1.2k. Selling Price = 0.9 * 1.2k = 1.08k. With 5% sales tax, total = 1.05 * 1.08k.

AI explanation

The shopkeeper marks the shirt at 20% above cost, making the marked price 1.20k, and then applies a 10% discount on this marked price, making the pre-tax selling price 0.90 multiplied by 1.20k, which simplifies to 1.08k. Brandon pays a 5% sales tax on this selling price, calculated as 1.05 multiplied by 1.08k. Therefore, the total amount paid is represented by the expression (1.05)(1.08)k.

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