If a wholesaler, sells a tin of coffee at 528 he faces a loss of 12%. Now if he decides to sell it at 636, what will be the profit (in %)

Options

A. 7
B. 6
C. 5
D. 4

Answer

To solve the problem, we will follow these steps:

### Step 1: Calculate the Cost Price (CP) of the tin of coffee
Given that the selling price (SP) is Rs. 528 and there is a loss of 12%, we can use the formula for loss:

\[ \text{Loss} = \text{Cost Price} - \text{Selling Price} \]

Since the loss is 12%, we can express this as:

\[ \text{Selling Price} = \text{Cost Price} - 0.12 \times \text{Cost Price} \]

This simplifies to:

\[ \text{Selling Price} = 0.88 \times \text{Cost Price} \]

Now, substituting the selling price:

\[ 528 = 0.88 \times \text{Cost Price} \]

To find the Cost Price, we rearrange the equation:

\[ \text{Cost Price} = \frac{528}{0.88} \]

Calculating this gives:

\[ \text{Cost Price} = 600 \]

### Step 2: Calculate the new Selling Price (SP)
The wholesaler decides to sell the tin of coffee at Rs. 636.

### Step 3: Calculate the Profit
Now we can calculate the profit using the formula:

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

Substituting the values we have:

\[ \text{Profit} = 636 - 600 = 36 \]

### Step 4: Calculate the Profit Percentage
To find the profit percentage, we use the formula:

\[ \text{Profit Percentage} = \left( \frac{\text{Profit}}{\text{Cost Price}} \right) \times 100 \]

Substituting the values:

\[ \text{Profit Percentage} = \left( \frac{36}{600} \right) \times 100 \]

Calculating this gives:

\[ \text{Profit Percentage} = 6\% \]

### Final Answer
The profit percentage when selling the tin of coffee at Rs. 636 is **6%**.

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