In general, half of all the customers you speak to will ask about any upcoming pricing discounts or promotions

In general, half of all the customers you speak to will ask about any upcoming pricing discounts or promotions. Of those who do ask, only 20% qualify for the discount. So that means if I speak to 300 customers, how many will qualify for the discount

The correct answer and explanation is:

✅ Correct Answer: 30 customers

🧮 Step-by-Step Calculation:

You’re told:

• Half of the customers you speak to will ask about promotions.
• Of those who ask, only 20% qualify.

You are speaking to 300 customers. Let’s break it down:

1. Half of 300 customers ask about discounts: 12×300=150 customers\frac{1}{2} \times 300 = 150 \text{ customers}
2. 20% of those 150 qualify for the discount: 0.20×150=30 customers0.20 \times 150 = 30 \text{ customers}

So, 30 customers will qualify for the discount.

🧠 Explanation (300 words):

When analyzing customer behavior and sales trends, it’s often important to apply basic probability and percentages to estimate outcomes. In this case, you’re interacting with 300 customers, and the company has observed that roughly half of all customers (50%) will inquire about any ongoing discounts or promotions. This insight is valuable for sales representatives and marketing teams, as it helps predict customer engagement and resource allocation.

To determine how many customers will actually qualify for the discount, we take the process step by step. First, we find out how many of the 300 customers are likely to ask about promotions. Since half of them do, that gives us 150 potential inquiries.

Next, we must account for the qualification rate. Not every customer who asks about a promotion will be eligible. According to the given data, only 20% of those who ask actually qualify for the discount. This is likely based on criteria such as purchase amount, membership status, or product selection.

We apply 20% to the 150 customers who asked: 20% of 150=20100×150=3020\% \text{ of } 150 = \frac{20}{100} \times 150 = 30

Thus, 30 out of the 300 customers will qualify for the discount.

This kind of estimation is crucial for businesses to prepare stock levels, staff resources, and manage financial expectations. It also helps in forecasting the effectiveness of promotions and understanding customer engagement patterns.