Napster offers discount on purchase of three garment pieces at a time . On purchase of every garment at the listed price, there is a 10% discount on offer of the remaining two graments . All garments .All garments are price the same. If the garments are listed at 25% above the cost price of $120, what is the profit made by the store if a customer purchase three pieces of garments ?

Options

A. 30
B. 45
C. 60
D. 90

Answer

To solve the problem step by step, we will calculate the cost price, the listed price, the selling price, and finally the profit made by the store when a customer purchases three pieces of garments.

### Step 1: Calculate the Cost Price of 3 Garments
The cost price (CP) of each garment is given as $120. Therefore, the cost price of 3 garments can be calculated as follows:

\[ \text{Cost Price of 3 Garments} = 3 \times \text{Cost Price of Each Garment} = 3 \times 120 = 360 \]

### Step 2: Calculate the Listed Price of Each Garment
The garments are listed at 25% above the cost price. First, we calculate 25% of the cost price:

\[ \text{25% of Cost Price} = 0.25 \times 120 = 30 \]

Now, we can find the listed price (LP) of each garment:

\[ \text{Listed Price of Each Garment} = \text{Cost Price} + \text{25% of Cost Price} = 120 + 30 = 150 \]

### Step 3: Calculate the Selling Price of 3 Garments
According to the problem, when a customer purchases 3 garments, they pay the full listed price for the first garment and a 10% discount on the remaining two garments.

First, calculate the discount on the remaining two garments:

\[ \text{Discount} = 10\% \text{ of Listed Price} = 0.10 \times 150 = 15 \]

Thus, the price for each of the remaining two garments after applying the discount is:

\[ \text{Price after Discount} = \text{Listed Price} - \text{Discount} = 150 - 15 = 135 \]

Now, we can calculate the total selling price (SP) for all three garments:

\[ \text{Selling Price of 3 Garments} = \text{Price of 1st Garment} + 2 \times \text{Price after Discount} = 150 + 2 \times 135 \]

Calculating this gives:

\[ \text{Selling Price of 3 Garments} = 150 + 270 = 420 \]

### Step 4: Calculate the Profit
Finally, we can find the profit made by the store by subtracting the total cost price from the total selling price:

\[ \text{Profit} = \text{Selling Price} - \text{Cost Price} = 420 - 360 = 60 \]

### Conclusion
The profit made by the store when a customer purchases three pieces of garments is **$60**.

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