Multiple choice general knowledge math & puzzles

On account of reduction in price of Oranges by 33.33%. Atul can buy 3 kgs more apples for Rs.99. Find the reduced price of Oranges per kg.

  1. 9.5

  2. 11

  3. 10.5

  4. 12

  5. Rs 10
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let original price = P. Reduced by 33.33% means new price = P × (2/3). With Rs. 99, Atul can buy 99/P kg at original price and 99/(2P/3) = 297/(2P) kg at reduced price. Difference = 297/(2P) - 99/P = 99/(2P) = 3 kg. So 99 = 6P, P = Rs. 16.5. Reduced price = 16.5 × 2/3 = Rs. 11 per kg. Option B is correct.

AI explanation

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.

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