An, automobile agency launched 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. I^the cost price of 3 Jabaaj Discover and 4 Jabaaj Pulser be ₹ 67500 and ₹ 232500 respectively. If a customer purchases 2 bikes of Jabaaj Discover and 3 bikes of Jabaaj Pulser as per scheme he availed 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 will first calculate the cost price of the bikes purchased by the customer, then determine the selling price required to achieve a profit of 17.5%.

### Step 1: Calculate the Cost Price of Jabaaj Discover and Jabaaj Pulser
- The cost price of 3 Jabaaj Discover bikes is ₹67,500.
- The cost price of 4 Jabaaj Pulser bikes is ₹232,500.

### Step 2: Determine the Cost Price of Individual Bikes
- Cost price of 1 Jabaaj Discover bike = ₹67,500 / 3 = ₹22,500.
- Cost price of 1 Jabaaj Pulser bike = ₹232,500 / 4 = ₹58,125.

### Step 3: Calculate the Total Cost Price for the Customer's Purchase
- The customer purchases 2 Jabaaj Discover bikes:
- Cost price for 2 Jabaaj Discover = 2 × ₹22,500 = ₹45,000.

- The customer purchases 3 Jabaaj Pulser bikes:
- Cost price for 3 Jabaaj Pulser = 3 × ₹58,125 = ₹174,375.

### Step 4: Calculate the Total Cost Price Including Free Bikes
- According to the scheme, the customer gets 1 Jabaaj Discover bike free and 1 Jabaaj Pulser bike free.
- Total cost price for the bikes received:
- Total cost price for Jabaaj Discover = ₹45,000 + ₹22,500 (free bike) = ₹67,500.
- Total cost price for Jabaaj Pulser = ₹174,375 + ₹58,125 (free bike) = ₹232,500.

### Step 5: Calculate the Overall Cost Price
- Overall cost price = Total cost price for Jabaaj Discover + Total cost price for Jabaaj Pulser
- Overall cost price = ₹67,500 + ₹232,500 = ₹300,000.

### Step 6: Calculate the Required Selling Price for 17.5% Profit
- To find the selling price that includes a profit of 17.5%, we first calculate the profit amount:
- Profit = 17.5% of Overall Cost Price = (17.5 / 100) × ₹300,000 = ₹52,500.

- Therefore, the required selling price = Overall Cost Price + Profit
- Required selling price = ₹300,000 + ₹52,500 = ₹352,500.

### Final Answer
The bikes should be sold at a total price of **₹352,500** to achieve an overall profit of 17.5%.

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