CAT Exam  >  CAT Questions  >   In the following question, two statements nu... Start Learning for Free
In the following question, two statements numbered I and II are given. On solving them we get two quantities, quantity I and quantity II respectively. Solve for both the quantities and choose the correct option.
Quantity I: Cost price of 4 kg of rice which is sold at Rs 80/kg after giving a discount of 20% and which was marked up by 25%.
Quantity II: Selling price of 6 kg of wheat which was bought at Rs 50/kg and was marked up by 20% and sold at a discount of 25%.
  • a)
    Quantity I > Quantity II
  • b)
    Quantity I < quantity="" />
  • c)
    Quantity I ≥ Quantity II
  • d)
    Quantity I ≤ Quantity II
  • e)
    Quantity I = Quantity II or a relation can't be established.
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
In the following question, two statements numbered I and II are given...
Quantity I:
S.P = Rs 80/kg
M.P = 80/(1 - 20/100) = Rs 100/kg
C.P of 4 kg = 4*100/(1 + 25/100) = Rs 320
Quantity II:
C.P = Rs 50/kg
M.P = 50(1 + 20/100) = Rs 60/kg
S.P of 6 kg = 6*60*(1 - 25/100) = Rs 270
View all questions of this test
Most Upvoted Answer
In the following question, two statements numbered I and II are given...
Quantity I: Cost price of 4 kg of rice which is sold at Rs 80/kg after giving a discount of 20% and which was marked up by 25%.

To find the cost price of 4 kg of rice, we need to consider the selling price and the discount given.

Given:
Selling price of rice = Rs 80/kg
Discount given = 20%
Mark up = 25%

Let's calculate the cost price of 1 kg of rice:
Selling price after discount = Rs 80/kg - (20/100)*Rs 80/kg = Rs 80/kg - Rs 16/kg = Rs 64/kg
Selling price after mark up = Rs 64/kg + (25/100)*Rs 64/kg = Rs 64/kg + Rs 16/kg = Rs 80/kg

Therefore, the cost price of 1 kg of rice is Rs 80/kg.

Now, let's calculate the cost price of 4 kg of rice:
Cost price of 4 kg of rice = Rs 80/kg * 4 kg = Rs 320

Quantity II: Selling price of 6 kg of wheat which was bought at Rs 50/kg and was marked up by 20% and sold at a discount of 25%.

To find the selling price of 6 kg of wheat, we need to consider the cost price, mark up, and discount given.

Given:
Cost price of wheat = Rs 50/kg
Mark up = 20%
Discount given = 25%

Let's calculate the selling price of 1 kg of wheat:
Selling price after mark up = Rs 50/kg + (20/100)*Rs 50/kg = Rs 50/kg + Rs 10/kg = Rs 60/kg
Selling price after discount = Rs 60/kg - (25/100)*Rs 60/kg = Rs 60/kg - Rs 15/kg = Rs 45/kg

Therefore, the selling price of 1 kg of wheat is Rs 45/kg.

Now, let's calculate the selling price of 6 kg of wheat:
Selling price of 6 kg of wheat = Rs 45/kg * 6 kg = Rs 270

Comparison:
Quantity I (Cost price of 4 kg of rice) = Rs 320
Quantity II (Selling price of 6 kg of wheat) = Rs 270

Since Quantity I is greater than Quantity II, the correct answer is option 'A' (Quantity I > Quantity II).
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

In the following question, two statements numbered I and II are given. On solving them we get two quantities, quantity I and quantity II respectively. Solve for both the quantities and choose the correct option.Quantity I: Cost price of 4 kg of rice which is sold at Rs 80/kg after giving a discount of 20% and which was marked up by 25%.Quantity II: Selling price of 6 kg of wheat which was bought at Rs 50/kg and was marked up by 20% and sold at a discount of 25%.a)Quantity I > Quantity IIb)Quantity I c)Quantity I ≥ Quantity IId)Quantity I ≤ Quantity IIe)Quantity I = Quantity II or a relation can't be established.Correct answer is option 'A'. Can you explain this answer?
Question Description
In the following question, two statements numbered I and II are given. On solving them we get two quantities, quantity I and quantity II respectively. Solve for both the quantities and choose the correct option.Quantity I: Cost price of 4 kg of rice which is sold at Rs 80/kg after giving a discount of 20% and which was marked up by 25%.Quantity II: Selling price of 6 kg of wheat which was bought at Rs 50/kg and was marked up by 20% and sold at a discount of 25%.a)Quantity I > Quantity IIb)Quantity I c)Quantity I ≥ Quantity IId)Quantity I ≤ Quantity IIe)Quantity I = Quantity II or a relation can't be established.Correct answer is option 'A'. 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 In the following question, two statements numbered I and II are given. On solving them we get two quantities, quantity I and quantity II respectively. Solve for both the quantities and choose the correct option.Quantity I: Cost price of 4 kg of rice which is sold at Rs 80/kg after giving a discount of 20% and which was marked up by 25%.Quantity II: Selling price of 6 kg of wheat which was bought at Rs 50/kg and was marked up by 20% and sold at a discount of 25%.a)Quantity I > Quantity IIb)Quantity I c)Quantity I ≥ Quantity IId)Quantity I ≤ Quantity IIe)Quantity I = Quantity II or a relation can't be established.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the following question, two statements numbered I and II are given. On solving them we get two quantities, quantity I and quantity II respectively. Solve for both the quantities and choose the correct option.Quantity I: Cost price of 4 kg of rice which is sold at Rs 80/kg after giving a discount of 20% and which was marked up by 25%.Quantity II: Selling price of 6 kg of wheat which was bought at Rs 50/kg and was marked up by 20% and sold at a discount of 25%.a)Quantity I > Quantity IIb)Quantity I c)Quantity I ≥ Quantity IId)Quantity I ≤ Quantity IIe)Quantity I = Quantity II or a relation can't be established.Correct answer is option 'A'. Can you explain this answer?.
Solutions for In the following question, two statements numbered I and II are given. On solving them we get two quantities, quantity I and quantity II respectively. Solve for both the quantities and choose the correct option.Quantity I: Cost price of 4 kg of rice which is sold at Rs 80/kg after giving a discount of 20% and which was marked up by 25%.Quantity II: Selling price of 6 kg of wheat which was bought at Rs 50/kg and was marked up by 20% and sold at a discount of 25%.a)Quantity I > Quantity IIb)Quantity I c)Quantity I ≥ Quantity IId)Quantity I ≤ Quantity IIe)Quantity I = Quantity II or a relation can't be established.Correct answer is option 'A'. 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 In the following question, two statements numbered I and II are given. On solving them we get two quantities, quantity I and quantity II respectively. Solve for both the quantities and choose the correct option.Quantity I: Cost price of 4 kg of rice which is sold at Rs 80/kg after giving a discount of 20% and which was marked up by 25%.Quantity II: Selling price of 6 kg of wheat which was bought at Rs 50/kg and was marked up by 20% and sold at a discount of 25%.a)Quantity I > Quantity IIb)Quantity I c)Quantity I ≥ Quantity IId)Quantity I ≤ Quantity IIe)Quantity I = Quantity II or a relation can't be established.Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of In the following question, two statements numbered I and II are given. On solving them we get two quantities, quantity I and quantity II respectively. Solve for both the quantities and choose the correct option.Quantity I: Cost price of 4 kg of rice which is sold at Rs 80/kg after giving a discount of 20% and which was marked up by 25%.Quantity II: Selling price of 6 kg of wheat which was bought at Rs 50/kg and was marked up by 20% and sold at a discount of 25%.a)Quantity I > Quantity IIb)Quantity I c)Quantity I ≥ Quantity IId)Quantity I ≤ Quantity IIe)Quantity I = Quantity II or a relation can't be established.Correct answer is option 'A'. Can you explain this answer?, a detailed solution for In the following question, two statements numbered I and II are given. On solving them we get two quantities, quantity I and quantity II respectively. Solve for both the quantities and choose the correct option.Quantity I: Cost price of 4 kg of rice which is sold at Rs 80/kg after giving a discount of 20% and which was marked up by 25%.Quantity II: Selling price of 6 kg of wheat which was bought at Rs 50/kg and was marked up by 20% and sold at a discount of 25%.a)Quantity I > Quantity IIb)Quantity I c)Quantity I ≥ Quantity IId)Quantity I ≤ Quantity IIe)Quantity I = Quantity II or a relation can't be established.Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of In the following question, two statements numbered I and II are given. On solving them we get two quantities, quantity I and quantity II respectively. Solve for both the quantities and choose the correct option.Quantity I: Cost price of 4 kg of rice which is sold at Rs 80/kg after giving a discount of 20% and which was marked up by 25%.Quantity II: Selling price of 6 kg of wheat which was bought at Rs 50/kg and was marked up by 20% and sold at a discount of 25%.a)Quantity I > Quantity IIb)Quantity I c)Quantity I ≥ Quantity IId)Quantity I ≤ Quantity IIe)Quantity I = Quantity II or a relation can't be established.Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice In the following question, two statements numbered I and II are given. On solving them we get two quantities, quantity I and quantity II respectively. Solve for both the quantities and choose the correct option.Quantity I: Cost price of 4 kg of rice which is sold at Rs 80/kg after giving a discount of 20% and which was marked up by 25%.Quantity II: Selling price of 6 kg of wheat which was bought at Rs 50/kg and was marked up by 20% and sold at a discount of 25%.a)Quantity I > Quantity IIb)Quantity I c)Quantity I ≥ Quantity IId)Quantity I ≤ Quantity IIe)Quantity I = Quantity II or a relation can't be established.Correct answer is option 'A'. 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