The cash difference between the selling price of an article at a profit of 4 % and 8 % is Rs 3. The ratio of two selling prices is.

Options

A. `25:27 `
B. `26:27`
C. `26:31`
D. `26:29`

Answer

To solve the problem step by step, we can follow these instructions:

### Step 1: Understand the Problem
We need to find the ratio of the selling prices (SP) of an article sold at a profit of 4% and 8%. We know that the difference between these two selling prices is Rs 3.

### Step 2: Let the Cost Price (CP) be 100
To simplify calculations, we can assume the cost price (CP) of the article is Rs 100.

### Step 3: Calculate Selling Price at 4% Profit
Using the formula for selling price:
\[ \text{SP} = \text{CP} + \text{Profit} \]
For a profit of 4%:
\[ \text{SP}_1 = CP + (4\% \text{ of } CP) = 100 + (4/100 \times 100) = 100 + 4 = 104 \]

### Step 4: Calculate Selling Price at 8% Profit
Similarly, for a profit of 8%:
\[ \text{SP}_2 = CP + (8\% \text{ of } CP) = 100 + (8/100 \times 100) = 100 + 8 = 108 \]

### Step 5: Find the Difference Between the Selling Prices
Now, we calculate the difference between the two selling prices:
\[ \text{Difference} = \text{SP}_2 - \text{SP}_1 = 108 - 104 = 4 \]

### Step 6: Set Up the Equation
According to the problem, this difference is given as Rs 3. Therefore, we can set up the equation:
\[ 108 - 104 = 3 \]
However, we see that the calculated difference is 4, which means we need to revise our understanding.

### Step 7: Calculate the Ratio of Selling Prices
Now, we can find the ratio of the two selling prices:
\[ \text{Ratio} = \frac{\text{SP}_2}{\text{SP}_1} = \frac{108}{104} \]

### Step 8: Simplify the Ratio
To simplify:
\[ \frac{108}{104} = \frac{27}{26} \]

### Final Answer
Thus, the ratio of the two selling prices is:
\[ \text{Ratio} = 27 : 26 \]

---