3 mangoes and 4 apples costs Rs 78. 5 apples and 6 peaches cost 150 . 6…

2026

3 mangoes and 4 apples costs Rs 78. 5 apples and 6 peaches cost 150 . 6 mangoes and 2 peaches costs Rs 90. What is the combined price of 1 apple , 1 peach and 1 mango ?

  1. A.

    37

  2. B.

    45

  3. C.

    50

  4. D.

    45

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Show answer & explanation

Correct answer: A

Answer: 37

  1. Let m = price of a mango, a = price of an apple, and p = price of a peach.

  2. From the problem we have: 3m + 4a = 78, 5a + 6p = 150, and 6m + 2p = 90.

  3. Double the first equation to eliminate m with the third: 6m + 8a = 156. Subtracting 6m + 2p = 90 gives 8a - 2p = 66.

  4. Solve the two equations in a and p: 8a - 2p = 66 and 5a + 6p = 150. Multiply the first by 3: 24a - 6p = 198. Add it to 5a + 6p = 150 to get 29a = 348, so a = 12.

  5. Substitute a = 12 into 5a + 6p = 150: 60 + 6p = 150, so p = 15.

  6. Find m from 3m + 4a = 78: 3m + 48 = 78, so m = 10.

  7. Therefore 1 apple + 1 peach + 1 mango = 12 + 15 + 10 = 37.

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