Mr. Mahesh sold a bus for Rs. 22,100 with a loss of 15%. At what price should the bus be sold to get a profit of 15%?

Options

A. 29700
B. 30000
C. 29800
D. 29900

Answer

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

### Step 1: Determine the Selling Price and Loss Percentage
The selling price (SP) of the bus is given as Rs. 22,100, and the loss percentage is 15%.

### Step 2: Calculate the Cost Price (CP)
To find the cost price when there is a loss, we can use the formula:
\[ CP = \frac{SP \times 100}{100 - \text{Loss Percentage}} \]
Substituting the values:
\[ CP = \frac{22,100 \times 100}{100 - 15} = \frac{22,100 \times 100}{85} \]
Calculating this gives:
\[ CP = \frac{22,100 \times 100}{85} = \frac{2,210,000}{85} = 26,000 \]
Thus, the cost price of the bus is Rs. 26,000.

### Step 3: Calculate the Desired Profit Percentage
Now we need to find the selling price to achieve a profit of 15%.

### Step 4: Calculate the Profit Amount
The profit can be calculated using the formula:
\[ \text{Profit} = CP \times \frac{\text{Profit Percentage}}{100} \]
Substituting the values:
\[ \text{Profit} = 26,000 \times \frac{15}{100} = 26,000 \times 0.15 = 3,900 \]
So, the profit amount is Rs. 3,900.

### Step 5: Calculate the New Selling Price for Profit
To find the new selling price (SP) when a profit is made, we can use the formula:
\[ \text{New SP} = CP + \text{Profit} \]
Substituting the values:
\[ \text{New SP} = 26,000 + 3,900 = 29,900 \]
Thus, the new selling price of the bus to achieve a profit of 15% is Rs. 29,900.

### Final Answer
The bus should be sold for Rs. 29,900 to achieve a profit of 15%.

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