A wholesaler bought walnuts and peanuts, the price of walnut per kg being thrice that of peanut 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?
A wholesaler bought walnuts and peanuts, the price of walnut per kg being thrice that of peanut 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? Correct Answer 96
Calculation:
Let cost price of a peanut be Rs.a.
The cost price of a walnut = 3a
Selling price of 8kg peanuts = 8 × a × 110/100 = Rs.8.8a
Selling price of 16kg walnuts = 16 × 3a × 120/100 = Rs.57.6a
Total selling price = 8.8a + 57.6a = Rs.66.4a
After profit, selling price = 66.4a × 125/100 = Rs.83a
Total selling price after transit = 166 × (8 + 16 - 5 - 3) = Rs.2656
⇒ 2656 = 83a
⇒ a = 32
∴ The cost price of a walnut = 3a = Rs.96