Two oranges three bananas and four apples cost Rs. 15. Three oranges, two bananas and one apple cost Rs. 10. I bought 3 oranges, 3 bananas and 3 apples. How much did I pay?
Show Hint
- Rs. 10
- Rs. 8
- Rs. 15
- Cannot be determined
The Correct Option is C
Solution and Explanation
Let the prices of an orange, a banana and an apple be \(o\), \(b\), \(a\). Then \(2o + 3b + 4a = 15\) and \(3o + 2b + a = 10\).
Step 2: Add them:
\(5o + 5b + 5a = 25\), so \(o + b + a = 5\).
Step 3: Required cost:
The cost of 3 oranges, 3 bananas and 3 apples is \(3(o + b + a) = 3 \times 5 = 15\). So I paid Rs. 15, even though the individual prices cannot be found.
Final Answer:
The correct option is (3): Rs. 15.
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