Multiple choice

A wholesaler bought walnuts and peanuts with the price of walnuts per kg being thrice that of peanuts per kg. He then sold 8 kg of peanuts at a profit of 10% and 16 kg of walnuts at a profit of 20% to a shopkeeper. However, the shopkeeper lost 5 kg of walnuts and 3 kg of peanuts in transit. He then mixed the remaining nuts and sold the mixture at Rs. 166 per kg, thus making an overall profit of 25%. At what price (in Rs. per kg) did the wholesaler buy the walnuts?

  1. 96

  2. 86

  3. 98

  4. 84
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let the price of peanuts be x and walnuts be 3x. Calculate total cost, total quantity after losses, and equate the final selling price to the 25% profit condition. Solving for x gives the price of walnuts as 96.

AI explanation

The shopkeeper mixes 11 kg of walnuts and 5 kg of peanuts, selling 16 kg total at Rs. 166 per kg, so the cost price is 166 / 1.25, or Rs. 132.8 per kg. The shopkeeper's total cost for these remaining nuts equals the wholesaler's selling price for 13 kg of walnuts and 8 kg of peanuts. If the wholesale peanut price is x and walnut price is 3x, then the wholesaler's selling prices are 1.1x for peanuts and 3.6x for walnuts. Solving 13(3.6x) + 8(1.1x) = 16(132.8) yields x = 32, making the wholesale walnut price 3x, which is Rs. 96.

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