Quant Exam > Quant Questions > How many kgs of rice of variety-1 costing Rs....
Start Learning for Free
How many kgs of rice of variety-1 costing Rs.42/kg should a shopkeeper mix with 25 kgs of rice of variety-2 costing Rs.24 per kg so that he makes a profit of 25% on selling the mixture at Rs.40/kg?
- a)15
- b)20
- c)25
- d)30
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
How many kgs of rice of variety-1 costing Rs.42/kg should a shopkeeper...
Answer – B.20 Explanation : 25% profit by selling the mixture at Rs.40/kg, his cost per kg of the mixture = Rs.32/kg. (x×42)+(25×24)=32(x+25) 42x+600=32x+800 10x=200 x=20kgs.
Shortcut: 125 = 40
100 = 32
42……………….24
………32…………..
8…………………….10
10 = 25
8 = 20
Shortcut: 125 = 40
100 = 32
42……………….24
………32…………..
8…………………….10
10 = 25
8 = 20
Most Upvoted Answer
How many kgs of rice of variety-1 costing Rs.42/kg should a shopkeeper...
Given:
Cost of variety-1 rice = Rs. 42/kg
Cost of variety-2 rice = Rs. 24/kg
Selling price = Rs. 40/kg
Profit required = 25%
Let the quantity of variety-1 rice to be mixed be x kgs.
Total cost price of the mixture = cost of variety-1 rice + cost of variety-2 rice
= 42x + 24(25) = 42x + 600
Total selling price of the mixture = selling price * total quantity
= 40(x+25)
Profit = selling price - cost price
= 40(x+25) - (42x + 600)
= 40x + 1000 - 42x - 600
= -2x + 400
As profit is required to be 25% of cost price, we have:
Profit/Cost Price * 100 = 25
-2x + 400 / (42x + 600) * 100 = 25
-2x + 400 = 10.5x + 150
12.5x = 250
x = 20
Therefore, the shopkeeper should mix 20 kgs of variety-1 rice with 25 kgs of variety-2 rice to make a profit of 25% on selling the mixture at Rs.40/kg.
Cost of variety-1 rice = Rs. 42/kg
Cost of variety-2 rice = Rs. 24/kg
Selling price = Rs. 40/kg
Profit required = 25%
Let the quantity of variety-1 rice to be mixed be x kgs.
Total cost price of the mixture = cost of variety-1 rice + cost of variety-2 rice
= 42x + 24(25) = 42x + 600
Total selling price of the mixture = selling price * total quantity
= 40(x+25)
Profit = selling price - cost price
= 40(x+25) - (42x + 600)
= 40x + 1000 - 42x - 600
= -2x + 400
As profit is required to be 25% of cost price, we have:
Profit/Cost Price * 100 = 25
-2x + 400 / (42x + 600) * 100 = 25
-2x + 400 = 10.5x + 150
12.5x = 250
x = 20
Therefore, the shopkeeper should mix 20 kgs of variety-1 rice with 25 kgs of variety-2 rice to make a profit of 25% on selling the mixture at Rs.40/kg.
Free Test
FREE
| Start Free Test |
Community Answer
How many kgs of rice of variety-1 costing Rs.42/kg should a shopkeeper...
Answer – B.20 Explanation : 25% profit by selling the mixture at Rs.40/kg, his cost per kg of the mixture = Rs.32/kg. (x×42)+(25×24)=32(x+25) 42x+600=32x+800 10x=200 x=20kgs.
Shortcut: 125 = 40
100 = 32
42……………….24
………32…………..
8…………………….10
10 = 25
8 = 20
Shortcut: 125 = 40
100 = 32
42……………….24
………32…………..
8…………………….10
10 = 25
8 = 20
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
How many kgs of rice of variety-1 costing Rs.42/kg should a shopkeeper mix with 25 kgs of rice of variety-2 costing Rs.24 per kg so that he makes a profit of 25% on selling the mixture at Rs.40/kg?a)15b)20c)25d)30e)None of theseCorrect answer is option 'B'. Can you explain this answer?
Question Description
How many kgs of rice of variety-1 costing Rs.42/kg should a shopkeeper mix with 25 kgs of rice of variety-2 costing Rs.24 per kg so that he makes a profit of 25% on selling the mixture at Rs.40/kg?a)15b)20c)25d)30e)None of theseCorrect answer is option 'B'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about How many kgs of rice of variety-1 costing Rs.42/kg should a shopkeeper mix with 25 kgs of rice of variety-2 costing Rs.24 per kg so that he makes a profit of 25% on selling the mixture at Rs.40/kg?a)15b)20c)25d)30e)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How many kgs of rice of variety-1 costing Rs.42/kg should a shopkeeper mix with 25 kgs of rice of variety-2 costing Rs.24 per kg so that he makes a profit of 25% on selling the mixture at Rs.40/kg?a)15b)20c)25d)30e)None of theseCorrect answer is option 'B'. Can you explain this answer?.
How many kgs of rice of variety-1 costing Rs.42/kg should a shopkeeper mix with 25 kgs of rice of variety-2 costing Rs.24 per kg so that he makes a profit of 25% on selling the mixture at Rs.40/kg?a)15b)20c)25d)30e)None of theseCorrect answer is option 'B'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about How many kgs of rice of variety-1 costing Rs.42/kg should a shopkeeper mix with 25 kgs of rice of variety-2 costing Rs.24 per kg so that he makes a profit of 25% on selling the mixture at Rs.40/kg?a)15b)20c)25d)30e)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How many kgs of rice of variety-1 costing Rs.42/kg should a shopkeeper mix with 25 kgs of rice of variety-2 costing Rs.24 per kg so that he makes a profit of 25% on selling the mixture at Rs.40/kg?a)15b)20c)25d)30e)None of theseCorrect answer is option 'B'. Can you explain this answer?.
Solutions for How many kgs of rice of variety-1 costing Rs.42/kg should a shopkeeper mix with 25 kgs of rice of variety-2 costing Rs.24 per kg so that he makes a profit of 25% on selling the mixture at Rs.40/kg?a)15b)20c)25d)30e)None of theseCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
Download more important topics, notes, lectures and mock test series for Quant Exam by signing up for free.
Here you can find the meaning of How many kgs of rice of variety-1 costing Rs.42/kg should a shopkeeper mix with 25 kgs of rice of variety-2 costing Rs.24 per kg so that he makes a profit of 25% on selling the mixture at Rs.40/kg?a)15b)20c)25d)30e)None of theseCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
How many kgs of rice of variety-1 costing Rs.42/kg should a shopkeeper mix with 25 kgs of rice of variety-2 costing Rs.24 per kg so that he makes a profit of 25% on selling the mixture at Rs.40/kg?a)15b)20c)25d)30e)None of theseCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for How many kgs of rice of variety-1 costing Rs.42/kg should a shopkeeper mix with 25 kgs of rice of variety-2 costing Rs.24 per kg so that he makes a profit of 25% on selling the mixture at Rs.40/kg?a)15b)20c)25d)30e)None of theseCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of How many kgs of rice of variety-1 costing Rs.42/kg should a shopkeeper mix with 25 kgs of rice of variety-2 costing Rs.24 per kg so that he makes a profit of 25% on selling the mixture at Rs.40/kg?a)15b)20c)25d)30e)None of theseCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice How many kgs of rice of variety-1 costing Rs.42/kg should a shopkeeper mix with 25 kgs of rice of variety-2 costing Rs.24 per kg so that he makes a profit of 25% on selling the mixture at Rs.40/kg?a)15b)20c)25d)30e)None of theseCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Quant tests.
|
|
Explore Courses for Quant exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup