A man purchased a shirt and pant with a discount of 25% on its marked price. He sold them at a price 40% more than the price at which he bought them. How much per cent the new selling price to its marked price?

Options

A. 0.05
B. `7.5%`
C. 0.09
D. `12.5%`

Answer

To solve the problem step by step, we will follow these calculations:

### Step 1: Understand the Discount
The man purchased a shirt and pant with a discount of 25% on the marked price (MP). This means he pays 75% of the marked price.

**Calculation:**
- Cost Price (CP) = (1 - Discount) × Marked Price
- CP = (1 - 0.25) × MP = 0.75 × MP

### Step 2: Calculate the Selling Price
He sold them at a price that is 40% more than the price at which he bought them (the cost price).

**Calculation:**
- Selling Price (SP) = Cost Price + Profit
- Profit = 40% of Cost Price = 0.40 × CP
- SP = CP + 0.40 × CP = 1.40 × CP

Substituting the value of CP from Step 1:
- SP = 1.40 × (0.75 × MP) = 1.05 × MP

### Step 3: Calculate the Percentage of Selling Price to Marked Price
Now we need to find out how much percent the new selling price (SP) is to its marked price (MP).

**Calculation:**
- To find the percentage, we use the formula:
\[ \text{Percentage} = \left( \frac{\text{SP}}{\text{MP}} \right) \times 100 \]
- Substitute SP = 1.05 × MP:
\[ \text{Percentage} = \left( \frac{1.05 \times MP}{MP} \right) \times 100 = 1.05 \times 100 = 105\% \]

### Final Answer
The new selling price is 105% of the marked price.

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