If 10% loss is made on selling price, then the percentage of loss on the cost price will be

Options

A. 77 `1/9` %
B. 9 `1/11` %
C. 0.1
D. 0.11

Answer

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

### Step 1: Understand the given information
We are given that there is a 10% loss on the selling price. We need to find the percentage of loss on the cost price.

### Step 2: Assume the Selling Price (SP)
Let's assume the selling price (SP) is Rs. 100. This simplifies our calculations.

### Step 3: Calculate the Loss
Since there is a 10% loss on the selling price:
- Loss = 10% of SP
- Loss = 10% of 100 = Rs. 10

### Step 4: Calculate the Cost Price (CP)
We know that:
- Loss = Cost Price (CP) - Selling Price (SP)
- Rs. 10 = CP - Rs. 100

Now, rearranging the equation to find CP:
- CP = Rs. 10 + Rs. 100
- CP = Rs. 110

### Step 5: Calculate the Loss Percentage on Cost Price
Now we need to find the loss percentage based on the cost price:
- Loss Percentage = (Loss / Cost Price) × 100
- Loss Percentage = (Rs. 10 / Rs. 110) × 100

### Step 6: Simplify the Calculation
- Loss Percentage = (10 / 110) × 100
- Loss Percentage = (1 / 11) × 100

### Step 7: Final Calculation
- Loss Percentage = 100 / 11
- Loss Percentage = 9.09% (approximately)

To express this as a mixed fraction:
- 100 / 11 = 9 1/11%

### Conclusion
Thus, the percentage of loss on the cost price is **9 1/11%**.

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