A person buys 100 cups at 10 each. On the way 10 cups are broken. He sells the remaining cups at 11 each. His loss per cent is

Options

A. `1/2` %
B. 0.01
C. 1 `1/2` %
D. 0.02

Answer

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

### Step 1: Calculate the Cost Price (CP)
The person buys 100 cups at 10 rupees each.

\[ \text{Cost Price (CP)} = \text{Number of cups} \times \text{Cost per cup} = 100 \times 10 = 1000 \text{ rupees} \]

**Hint:** To find the total cost, multiply the number of items by the cost per item.

### Step 2: Determine the Number of Cups Remaining
On the way, 10 cups are broken.

\[ \text{Remaining cups} = \text{Total cups} - \text{Broken cups} = 100 - 10 = 90 \text{ cups} \]

**Hint:** Subtract the number of broken items from the total number of items to find how many are left.

### Step 3: Calculate the Selling Price (SP)
The remaining 90 cups are sold at 11 rupees each.

\[ \text{Selling Price (SP)} = \text{Remaining cups} \times \text{Selling price per cup} = 90 \times 11 = 990 \text{ rupees} \]

**Hint:** Multiply the number of remaining items by the selling price per item to find the total selling price.

### Step 4: Calculate the Loss
Now, we find the loss by subtracting the Selling Price from the Cost Price.

\[ \text{Loss} = \text{Cost Price} - \text{Selling Price} = 1000 - 990 = 10 \text{ rupees} \]

**Hint:** To find the loss, subtract the selling price from the cost price.

### Step 5: Calculate the Loss Percentage
To find the loss percentage, use the formula:

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

Substituting the values we have:

\[ \text{Loss Percentage} = \left( \frac{10}{1000} \right) \times 100 = 1\% \]

**Hint:** Divide the loss by the cost price and multiply by 100 to convert it into a percentage.

### Final Answer
The loss percentage is **1%**.

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