CAT Exam  >  CAT Questions  >  A wholesaler bought walnuts and peanuts, the ... Start Learning for Free
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?
(2018)
  • a)
    86
  • b)
    96
  • c)
    84
  • d)
    98
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A wholesaler bought walnuts and peanuts, the price of walnut per kg be...
Let the cost price of peanuts for the wholesaler be x per kg  
then cost price of walnuts for the wholesaler is 3x per kg.
Total cost price to the shopkeeper = (8)(x) (1.1) + 16(3x)(1.2) = 66.4x
The shopkeeper lost 5 kg walnuts and 3 kg peanuts.
∴ The shopkeeper sold the mixture of 11 kg walnuts and 5 kg peanuts.
∴ Total selling price of the shopkeeper = 166(16) = 2656
Total cost price of the shopkeeper =
66.4x = 2124.8
∴ x = 32
Price of which the wholesaler bought walnuts = 3x = Rs 96 per kg.
View all questions of this test
Most Upvoted Answer
A wholesaler bought walnuts and peanuts, the price of walnut per kg be...
Let's assume the cost price of 1 kg of peanuts is x Rs.
Therefore, the cost price of 1 kg of walnuts is 3x Rs.

The wholesaler sold 8 kg of peanuts at a profit of 10%. Therefore, the selling price of 8 kg of peanuts is:
8 * x * (1 + 10/100) = 8.8x Rs.

The wholesaler sold 16 kg of walnuts at a profit of 20%. Therefore, the selling price of 16 kg of walnuts is:
16 * 3x * (1 + 20/100) = 48.8x Rs.

The shopkeeper lost 5 kg of walnuts and 3 kg of peanuts in transit. So, the remaining nuts are:
16 kg - 5 kg = 11 kg of walnuts
8 kg - 3 kg = 5 kg of peanuts

Let's assume the cost price of the remaining nuts is y Rs per kg.
Since the shopkeeper mixed the remaining nuts and sold the mixture at Rs. 166 per kg, we can write the equation:
(11 * y + 5 * x) / (11 + 5) = 166

Simplifying the equation, we get:
11y + 5x = 166 * 16
11y + 5x = 2656

Since the overall profit is 25%, we can write the equation:
(48.8x + 8.8x + 16y + 8y) / (48.8 + 8.8 + 16 + 8) = 1.25

Simplifying the equation, we get:
57.6x + 24y = 1.25 * 81.6
57.6x + 24y = 102

Now, we have a system of equations:
11y + 5x = 2656
57.6x + 24y = 102

We can solve this system of equations to find the values of x and y.

Multiplying the first equation by 24 and the second equation by 5, we get:
264y + 120x = 636864
288x + 120y = 510

Multiplying the first equation by 288 and the second equation by 264, we get:
6336y + 2880x = 18320256
6336x + 2640y = 134640

Subtracting the second equation from the first, we get:
2880x - 2640y = 18320256 - 134640
240x = 18185616

Dividing both sides by 240, we get:
x = 75773.4

Therefore, the price, in Rs. per kg, at which the wholesaler bought the walnuts is approximately 75773.4/3 = 25257.8 Rs.

Hence, the correct option is B) 96.
Attention CAT Students!
To make sure you are not studying endlessly, EduRev has designed CAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CAT.
Explore Courses for CAT exam

Similar CAT Doubts

Top Courses for CAT

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?(2018)a)86b)96c)84d)98Correct answer is option 'B'. Can you explain this answer?
Question Description
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?(2018)a)86b)96c)84d)98Correct answer is option 'B'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about 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?(2018)a)86b)96c)84d)98Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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?(2018)a)86b)96c)84d)98Correct answer is option 'B'. Can you explain this answer?.
Solutions for 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?(2018)a)86b)96c)84d)98Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of 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?(2018)a)86b)96c)84d)98Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of 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?(2018)a)86b)96c)84d)98Correct answer is option 'B'. Can you explain this answer?, a detailed solution for 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?(2018)a)86b)96c)84d)98Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of 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?(2018)a)86b)96c)84d)98Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice 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?(2018)a)86b)96c)84d)98Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice CAT tests.
Explore Courses for CAT exam

Top Courses for CAT

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev