An automobile agency lauched a scheme that if a customer purchases two Jabaaj Discover bikes, one extra Jabaaj Discover will be free and if he purchases 3 Jabaaj Pulser he will get one extra Jabaaj Pulser free. If the cost price of 3 Jabaaj Discover and 4 Jabaaj Pulser be Rs. 67500 and Rs. 232500 respectively. If a customer purchases 2 bikes of Jabaaj Discover and 3 bikes of Jabaaj Pulser as per scheme he availabe 1 bike free of each category, then at what price these bikes should be sold so that the agency can get overall profit of 17.5% :

Options

A. `235250`
B. `352500`
C. `368000`
D. 268000`

Answer

To solve the problem step by step, we need to calculate the total cost price of the bikes, determine the desired profit, and then find the selling price that would yield that profit.

### Step 1: Calculate the Cost Price of Jabaaj Discover and Jabaaj Pulsar
- The cost price of 3 Jabaaj Discover bikes is Rs. 67,500.
- The cost price of 4 Jabaaj Pulsar bikes is Rs. 2,32,500.

### Step 2: Calculate the Total Cost Price for the Purchased Bikes
- The customer purchases 2 Jabaaj Discover bikes and gets 1 free.
- The customer purchases 3 Jabaaj Pulsar bikes and gets 1 free.

**Cost of 2 Jabaaj Discover bikes:**
\[ \text{Cost of 1 Jabaaj Discover} = \frac{67,500}{3} = 22,500 \]
\[ \text{Cost of 2 Jabaaj Discover} = 2 \times 22,500 = 45,000 \]

**Cost of 3 Jabaaj Pulsar bikes:**
\[ \text{Cost of 1 Jabaaj Pulsar} = \frac{2,32,500}{4} = 58,125 \]
\[ \text{Cost of 3 Jabaaj Pulsar} = 3 \times 58,125 = 1,74,375 \]

**Total Cost Price:**
\[ \text{Total Cost Price} = \text{Cost of 2 Jabaaj Discover} + \text{Cost of 3 Jabaaj Pulsar} \]
\[ \text{Total Cost Price} = 45,000 + 1,74,375 = 2,19,375 \]

### Step 3: Calculate the Desired Profit
- The agency wants an overall profit of 17.5%.

**Profit Calculation:**
\[ \text{Profit} = \text{Total Cost Price} \times \frac{17.5}{100} \]
\[ \text{Profit} = 2,19,375 \times 0.175 = 38,828.125 \]

### Step 4: Calculate the Selling Price
**Selling Price Calculation:**
\[ \text{Selling Price} = \text{Total Cost Price} + \text{Profit} \]
\[ \text{Selling Price} = 2,19,375 + 38,828.125 = 2,58,203.125 \]

### Step 5: Round the Selling Price
Since selling prices are typically rounded to the nearest whole number:
\[ \text{Selling Price} \approx 2,58,203 \]

### Final Answer
The agency should sell the bikes for approximately Rs. 2,58,203 to achieve an overall profit of 17.5%.

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