CAT Exam  >  CAT Questions  >  Bansi bought two mixtures of rice and hay. He... Start Learning for Free
Bansi bought two mixtures of rice and hay. He bought a certain quantity of the first mixture at the rate of Rs. 40 per kg and the ratio of rice and hay in the mixture was 3:1 . He bought a certain quantity of the second mixture at the rate of Rs. 30 per kg and the ratio of rice and hay in that mixture was 6 : 5. Mixing these two mixtures he had a new mixture which weighed 126 kg and had rice to hay ratio of 4 : 3. What is the cost (in Rs .) of the first mixture used in the third mixture?
    Correct answer is '640'. Can you explain this answer?
    Verified Answer
    Bansi bought two mixtures of rice and hay. He bought a certain quantit...
    Let there be 4x kg of the first mixture and 11y kg of the second mixture.
    There is 3x kg of rice in the first mixture 6y kg of rice in the second mixture.
    Similarly, there is x kg of hay in the first mixture and 5y kg of hay in the second mixture.
    The final mixture has 126 * 4/7 = 72 kg of rice and 54 kg of hay.
    3x + 6 y = 7 2 ...(i)
    and
    x + 5y = 54 ...(ii)
    Solving (i) and (ii) simultaneously, 
    x = 4
    The amount o f the first mixture = 4 x 4 = 16 kg
    The cost of the first mixture is 16 x 40 = Rs. 640 
    Answer: 640
    View all questions of this test
    Most Upvoted Answer
    Bansi bought two mixtures of rice and hay. He bought a certain quantit...
    Given information:
    - Bansi bought two mixtures of rice and hay.
    - The first mixture was bought at the rate of Rs. 40 per kg and the ratio of rice and hay in the mixture was 3:1.
    - The second mixture was bought at the rate of Rs. 30 per kg and the ratio of rice and hay in that mixture was 6:5.
    - Mixing these two mixtures, Bansi obtained a new mixture weighing 126 kg with a rice to hay ratio of 4:3.

    Objective:
    To find the cost of the first mixture used in the third mixture.

    Assumptions:
    Let the amount of the first mixture bought by Bansi be x kg.
    Let the amount of the second mixture bought by Bansi be y kg.

    Approach:
    To solve the problem, we need to follow the following steps:
    1. Set up equations based on the given information.
    2. Solve the equations to find the values of x and y.
    3. Calculate the cost of the first mixture used in the third mixture.

    Solution:
    1. Equations:
    - The first mixture:
    - Cost of rice = 3/4 * 40 * x
    - Cost of hay = 1/4 * 40 * x
    - The second mixture:
    - Cost of rice = 6/11 * 30 * y
    - Cost of hay = 5/11 * 30 * y
    - The third mixture:
    - Weight = 126 kg
    - Rice to hay ratio = 4:3

    2. Solving equations:
    - Rice in the third mixture = 4/(4+3) * 126 = 72 kg (Let's call this rice3)
    - Hay in the third mixture = 3/(4+3) * 126 = 54 kg (Let's call this hay3)

    - The rice in the third mixture is a combination of rice from the first and second mixtures.
    - Rice from the first mixture = 3/4 * x
    - Rice from the second mixture = 6/11 * y
    - Equating the rice quantities:
    - 3/4 * x + 6/11 * y = 72 (Equation 1)

    - The hay in the third mixture is a combination of hay from the first and second mixtures.
    - Hay from the first mixture = 1/4 * x
    - Hay from the second mixture = 5/11 * y
    - Equating the hay quantities:
    - 1/4 * x + 5/11 * y = 54 (Equation 2)

    - Solving equations 1 and 2 simultaneously will give the values of x and y.

    3. Calculating the cost of the first mixture used in the third mixture:
    - Cost of the first mixture used = Cost of rice from the first mixture + Cost of hay from the first mixture
    = (3/4 * 40 * x) + (1/4 * 40 * x)
    = (3/4 + 1/4) * 40 * x
    = 40 * x

    Final answer:
    The cost of the first mixture used in the third mixture is 40 * x, where x is
    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

    Bansi bought two mixtures of rice and hay. He bought a certain quantity of the first mixture at the rate of Rs. 40 per kg and the ratio of rice and hay in the mixture was 3:1 . He bought a certain quantity of the second mixture at the rate of Rs. 30 per kg and the ratio of rice and hay in that mixture was 6 : 5. Mixing these two mixtures he had a new mixture which weighed 126 kg and had rice to hay ratio of 4 : 3. What is the cost (in Rs .) of the first mixture used in the third mixture?Correct answer is '640'. Can you explain this answer?
    Question Description
    Bansi bought two mixtures of rice and hay. He bought a certain quantity of the first mixture at the rate of Rs. 40 per kg and the ratio of rice and hay in the mixture was 3:1 . He bought a certain quantity of the second mixture at the rate of Rs. 30 per kg and the ratio of rice and hay in that mixture was 6 : 5. Mixing these two mixtures he had a new mixture which weighed 126 kg and had rice to hay ratio of 4 : 3. What is the cost (in Rs .) of the first mixture used in the third mixture?Correct answer is '640'. 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 Bansi bought two mixtures of rice and hay. He bought a certain quantity of the first mixture at the rate of Rs. 40 per kg and the ratio of rice and hay in the mixture was 3:1 . He bought a certain quantity of the second mixture at the rate of Rs. 30 per kg and the ratio of rice and hay in that mixture was 6 : 5. Mixing these two mixtures he had a new mixture which weighed 126 kg and had rice to hay ratio of 4 : 3. What is the cost (in Rs .) of the first mixture used in the third mixture?Correct answer is '640'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Bansi bought two mixtures of rice and hay. He bought a certain quantity of the first mixture at the rate of Rs. 40 per kg and the ratio of rice and hay in the mixture was 3:1 . He bought a certain quantity of the second mixture at the rate of Rs. 30 per kg and the ratio of rice and hay in that mixture was 6 : 5. Mixing these two mixtures he had a new mixture which weighed 126 kg and had rice to hay ratio of 4 : 3. What is the cost (in Rs .) of the first mixture used in the third mixture?Correct answer is '640'. Can you explain this answer?.
    Solutions for Bansi bought two mixtures of rice and hay. He bought a certain quantity of the first mixture at the rate of Rs. 40 per kg and the ratio of rice and hay in the mixture was 3:1 . He bought a certain quantity of the second mixture at the rate of Rs. 30 per kg and the ratio of rice and hay in that mixture was 6 : 5. Mixing these two mixtures he had a new mixture which weighed 126 kg and had rice to hay ratio of 4 : 3. What is the cost (in Rs .) of the first mixture used in the third mixture?Correct answer is '640'. 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 Bansi bought two mixtures of rice and hay. He bought a certain quantity of the first mixture at the rate of Rs. 40 per kg and the ratio of rice and hay in the mixture was 3:1 . He bought a certain quantity of the second mixture at the rate of Rs. 30 per kg and the ratio of rice and hay in that mixture was 6 : 5. Mixing these two mixtures he had a new mixture which weighed 126 kg and had rice to hay ratio of 4 : 3. What is the cost (in Rs .) of the first mixture used in the third mixture?Correct answer is '640'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Bansi bought two mixtures of rice and hay. He bought a certain quantity of the first mixture at the rate of Rs. 40 per kg and the ratio of rice and hay in the mixture was 3:1 . He bought a certain quantity of the second mixture at the rate of Rs. 30 per kg and the ratio of rice and hay in that mixture was 6 : 5. Mixing these two mixtures he had a new mixture which weighed 126 kg and had rice to hay ratio of 4 : 3. What is the cost (in Rs .) of the first mixture used in the third mixture?Correct answer is '640'. Can you explain this answer?, a detailed solution for Bansi bought two mixtures of rice and hay. He bought a certain quantity of the first mixture at the rate of Rs. 40 per kg and the ratio of rice and hay in the mixture was 3:1 . He bought a certain quantity of the second mixture at the rate of Rs. 30 per kg and the ratio of rice and hay in that mixture was 6 : 5. Mixing these two mixtures he had a new mixture which weighed 126 kg and had rice to hay ratio of 4 : 3. What is the cost (in Rs .) of the first mixture used in the third mixture?Correct answer is '640'. Can you explain this answer? has been provided alongside types of Bansi bought two mixtures of rice and hay. He bought a certain quantity of the first mixture at the rate of Rs. 40 per kg and the ratio of rice and hay in the mixture was 3:1 . He bought a certain quantity of the second mixture at the rate of Rs. 30 per kg and the ratio of rice and hay in that mixture was 6 : 5. Mixing these two mixtures he had a new mixture which weighed 126 kg and had rice to hay ratio of 4 : 3. What is the cost (in Rs .) of the first mixture used in the third mixture?Correct answer is '640'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Bansi bought two mixtures of rice and hay. He bought a certain quantity of the first mixture at the rate of Rs. 40 per kg and the ratio of rice and hay in the mixture was 3:1 . He bought a certain quantity of the second mixture at the rate of Rs. 30 per kg and the ratio of rice and hay in that mixture was 6 : 5. Mixing these two mixtures he had a new mixture which weighed 126 kg and had rice to hay ratio of 4 : 3. What is the cost (in Rs .) of the first mixture used in the third mixture?Correct answer is '640'. 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