The correct answer is option (C):
Rs. 30,000
Let's break down this problem step-by-step to understand why the correct answer is Rs. 30,000.
The problem presents a scenario involving percentage loss and percentage gain on the sale of a car. We need to find the original cost price (the price the dealer bought the car for).
First, we understand that there's a difference of 12% between the scenario of a 6% loss and a 6% gain. This 12% represents the Rs. 3600 difference in selling price.
Think of it this way: The cost price represents 100%.
* In the first scenario, the dealer sold the car at 94% of the cost price (100% - 6% loss).
* In the second scenario, the dealer sold the car at 106% of the cost price (100% + 6% gain).
The difference in the selling prices (Rs. 3600) corresponds to the difference in percentages (106% - 94% = 12%).
Therefore, 12% of the cost price is equal to Rs. 3600.
Now, we can find the cost price (100%) using the following equation:
(12/100) * Cost Price = 3600
To isolate the Cost Price, we can rearrange the equation:
Cost Price = 3600 * (100/12)
Cost Price = 3600 * (8.333...) which simplifies to 30000
So, the cost price of the car is Rs. 30,000. This is the correct answer.