How many kgs of what costing Rs. 36/-per kg must be mixed with 30 kgs of wheat…

2023

How many kgs of what costing Rs. 36/-per kg must be mixed with 30 kgs of wheat costing Rs. 42/- per kg so that 20% profit can be obtained by selling the mixture at Rs. 48/- per kg ?

  1. A.

    24 kgs

  2. B.

    12 kgs

  3. C.

    18 kgs

  4. D.

    15 kgs

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Show answer & explanation

Correct answer: D

Answer: 15 kgs

  1. Step 1: Selling price (S.P.) of 1 kg mixture = Rs. 48. For a 20% gain, the cost price (C.P.) per kg must be 48 × (100/120) = Rs. 40.

  2. Step 2: Let x be the kilograms of wheat costing Rs. 36 per kg to be mixed with 30 kg costing Rs. 42 per kg. The average C.P. per kg of the mixture is (36x + 42×30)/(x + 30).

  3. Step 3: Equate the average C.P. to Rs. 40 and solve:

    (36x + 42×30)/(x + 30) = 40

    36x + 1260 = 40x + 1200

    1260 − 1200 = 4x ⇒ 60 = 4x ⇒ x = 15

  4. Conclusion: Mix 15 kgs of the Rs.36/kg wheat with 30 kgs of Rs.42/kg wheat to obtain a 20% profit when selling at Rs.48/kg.

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