Multiple choice

The costs of an apple, a banana and a papaya are in ratio 5 : 2 : 9. If the cost of 3 apples, 4 bananas and a papaya is 48, then find the cost of an apple.

  1. Rs.7.50

  2. Rs. 15.00

  3. Rs. 8.50

  4. Rs.4.50

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A Correct answer
Explanation

Let costs be 5x, 2x, 9x. 3(5x) + 4(2x) + 9x = 48. 15x + 8x + 9x = 48. 32x = 48. x = 1.5. Apple cost = 5x = 7.5.

AI explanation

Let the costs of an apple, a banana and a papaya be 5x, 2x and 9x respectively. Using the given total cost, the equation is 3 times 5x plus 4 times 2x plus 1 times 9x equals 48. Simplifying this gives 15x plus 8x plus 9x equals 48, so 32x equals 48. Solving for x gives 1.5, and the cost of an apple is 5 times 1.5, which is 7.5. The cost of an apple is Rs. 7.50.