When an article is sold for Rs. 21.12, there is a loss of 4%. What is the cost price of the article?

Options

A. A. Rs. 26.10
B. B. Rs. 43
C. C. Rs. 43.20
D. D. Rs. 22

Answer

To find the cost price of the article when it is sold for Rs. 21.12 with a loss of 4%, we can follow these steps:

### Step 1: Understand the relationship between Selling Price (SP), Cost Price (CP), and Loss.
When there is a loss, the selling price is less than the cost price. The formula to calculate the selling price when there is a loss is:
\[ SP = CP - \text{Loss} \]
or
\[ SP = CP \times \left(1 - \frac{\text{Loss \%}}{100}\right) \]

### Step 2: Set up the equation using the given values.
Given that the selling price (SP) is Rs. 21.12 and the loss percentage is 4%, we can express the cost price (CP) as:
\[ 21.12 = CP \times \left(1 - \frac{4}{100}\right) \]
This simplifies to:
\[ 21.12 = CP \times 0.96 \]

### Step 3: Solve for the Cost Price (CP).
To find CP, we can rearrange the equation:
\[ CP = \frac{21.12}{0.96} \]

### Step 4: Calculate the Cost Price.
Now, we perform the division:
\[ CP = \frac{21.12}{0.96} = 22 \]

### Conclusion:
The cost price of the article is Rs. 22.

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