If 60% discount is offered on the marked price and selling price becomes equal to cost price then what was the % mark up?

Options

A. a)100
B. b)250
C. c)150
D. d)40

Answer

To solve the problem step by step, we will follow the logic presented in the video transcript:

### Step 1: Understand the Problem
We are given that a 60% discount is offered on the marked price (MP), and after this discount, the selling price (SP) becomes equal to the cost price (CP). We need to find the percentage markup.

### Step 2: Assume a Marked Price
Let's assume the marked price (MP) is ₹100. This assumption simplifies our calculations.

### Step 3: Calculate the Selling Price after Discount
Since a 60% discount is offered on the marked price:
- Discount = 60% of ₹100 = ₹60
- Selling Price (SP) = Marked Price - Discount = ₹100 - ₹60 = ₹40

### Step 4: Equate Selling Price to Cost Price
According to the problem, the selling price is equal to the cost price:
- SP = CP
- Therefore, Cost Price (CP) = ₹40

### Step 5: Calculate the Markup
Markup is the difference between the marked price and the cost price.
- Markup = Marked Price - Cost Price = ₹100 - ₹40 = ₹60

### Step 6: Calculate the Percentage Markup
To find the percentage markup, we use the formula:
\[ \text{Percentage Markup} = \left( \frac{\text{Markup}}{\text{Cost Price}} \right) \times 100 \]
Substituting the values:
\[ \text{Percentage Markup} = \left( \frac{₹60}{₹40} \right) \times 100 \]

### Step 7: Simplify the Calculation
\[ \text{Percentage Markup} = \left( \frac{60}{40} \right) \times 100 = 1.5 \times 100 = 150\% \]

### Conclusion
The percentage markup is **150%**.

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