The loss in selling an article for Rs. 1235 was 5%. At what should it be sold to get a profit of 10%?
A. Rs. 1,335
B. Rs. 1,380
C. Rs. 1,430
D. Rs. 1,300

Options

A. A
B. D
C. B
D. C

Answer

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

### Step 1: Understand the given information
We know that selling an article for Rs. 1235 results in a loss of 5%. We need to find out the selling price (SP) required to achieve a profit of 10%.

### Step 2: Find the Cost Price (CP)
Let’s denote the Cost Price (CP) as 100 units (for simplicity). If there is a 5% loss when selling at Rs. 1235, we can express this mathematically.

- Selling Price (SP) at 5% loss = CP - (5% of CP)
- SP = 100 - (5/100 * 100) = 100 - 5 = 95

### Step 3: Set up the equation
From the information given:
- If SP = 95 corresponds to Rs. 1235, we can find the value of 1 unit.

### Step 4: Calculate the value of 1 unit
To find the value of 1 unit:
- Value of 1 unit = Selling Price / SP in percentage terms
- Value of 1 unit = 1235 / 95

### Step 5: Calculate the Cost Price (CP)
Now, we need to find the actual Cost Price using the value of 1 unit:
- CP = 100 units = (1235 / 95) * 100

### Step 6: Calculate the Selling Price (SP) for 10% profit
To find the Selling Price for a 10% profit:
- SP at 10% profit = CP + (10% of CP)
- SP = CP + (10/100 * CP) = CP * (1 + 0.10) = CP * 1.10

### Step 7: Substitute the value of CP
Now we substitute the value of CP we calculated:
- SP = (1235 / 95) * 100 * 1.10

### Step 8: Calculate the final Selling Price
Now we perform the calculation:
- SP = (1235 / 95) * 100 * 1.10 = 1430

### Conclusion
Thus, the selling price to achieve a profit of 10% should be Rs. 1430.

### Final Answer
The correct answer is **C. Rs. 1,430**.

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