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The cost price of 6 pens is equal to the selling price of 4 pens. Find the profit percent.a.20%b.40%c.60%d.50%

Question

The cost price of 6 pens is equal to the selling price of 4 pens. Find the profit percent.

a. 20%
b. 40%
c. 60%
d. 50%

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Solution

Let's solve this step by step:

Step 1: Let's assume the cost price of one pen is 1.Therefore,thecostpriceof6penswouldbe1. Therefore, the cost price of 6 pens would be 6.

Step 2: According to the problem, the selling price of 4 pens is also 6.So,thesellingpriceofonepenwouldbe6. So, the selling price of one pen would be 6/4 = $1.50.

Step 3: Now, we can calculate the profit by subtracting the cost price from the selling price. Profit = Selling price - Cost price = 1.501.50 - 1 = $0.50.

Step 4: The profit percentage is calculated by dividing the profit by the cost price and then multiplying the result by 100. Profit percent = (Profit / Cost price) * 100 = (0.50/0.50 / 1) * 100 = 50%.

So, the profit percentage is 50%, which corresponds to option d.

This problem has been solved

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