To find the reduced price of oranges per kg, we will follow these steps:
Step 1: Let's assume the original price of oranges per kg is x.
Step 2: The price of oranges after the reduction is (100 - 33.33)% of x, which is (66.67/100) * x.
Step 3: Atul can buy 3 kgs more apples for Rs.99. This means that the price of 3 kgs of apples is Rs.99.
Step 4: The price of 1 kg of apples is Rs.99/3.
Step 5: Since Atul can buy 3 kgs more apples with the same amount, the price of apples has not changed.
Step 6: Therefore, (66.67/100) * x = Rs.99/3.
Step 7: Solving for x, we get x = (Rs.99/3) * (100/66.67).
Step 8: Simplifying, we get x = Rs. 49.50.
Step 9: The reduced price of oranges per kg is Rs.49.50.
Therefore, the correct answer is option B) Rs. 11.