By selling a bag at Rs. 230, profit of 15% is made. The selling price of the bag, when it is sold at 20% profit would be

Options

A. Rs.250
B. Rs.205
C. Rs.240
D. Rs.200

Answer

To solve the problem step by step, we need to find the selling price of the bag when it is sold at a 20% profit. Here's how we can do it:

### Step 1: Understand the given information
We know that the selling price (SP) of the bag when sold at a 15% profit is Rs. 230.

### Step 2: Calculate the cost price (CP)
To find the cost price (CP), we can use the formula:
\[ CP = \frac{SP}{1 + \frac{Profit\%}{100}} \]
Here, the profit percentage is 15%.

Substituting the values:
\[ CP = \frac{230}{1 + \frac{15}{100}} \]
\[ CP = \frac{230}{1 + 0.15} \]
\[ CP = \frac{230}{1.15} \]
\[ CP = 200 \]

### Step 3: Calculate the selling price for a 20% profit
Now that we have the cost price, we can find the selling price when the profit is 20%. The formula for selling price is:
\[ SP = CP \times (1 + \frac{Profit\%}{100}) \]
Here, the profit percentage is 20%.

Substituting the values:
\[ SP = 200 \times (1 + \frac{20}{100}) \]
\[ SP = 200 \times (1 + 0.20) \]
\[ SP = 200 \times 1.20 \]
\[ SP = 240 \]

### Final Answer
The selling price of the bag when sold at a 20% profit is Rs. 240.

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