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In a farm, each cow eats twice as much grass as each sheep. The cost of grass for 20 cows and 80 sheeps for 40 days is Rs. 1800. Find the cost of grass in Rs. for 40 cows and 20 sheeps for 36 days.
- a)2500
- b)1350
- c)1450
- d)1500
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
In a farm, each cow eats twice as much grass as each sheep. The cost o...
Given:
Each cow eats twice as much grass as each sheep.
The cost of grass for 20 cows and 80 sheep for 40 days is Rs. 1800.
To find:
The cost of grass in Rs. for 40 cows and 20 sheep for 36 days.
Solution:
Let the amount of grass eaten by each sheep be x.
Then, the amount of grass eaten by each cow will be 2x.
Let the cost of grass per unit be y.
According to the given information,
Total grass eaten by 80 sheep for 40 days = 80x * 40
Total grass eaten by 20 cows for 40 days = 20 * 2x * 40 = 1600x
Total cost of grass for 20 cows and 80 sheep for 40 days = 80x * 40 * y + 1600x * y * 40 = 1800
Simplifying the above expression, we get:
3200xy = 1800
Therefore, the cost of grass per unit (y) = 1800/3200 = 9/16
Now, we need to find the cost of grass for 40 cows and 20 sheep for 36 days.
Total grass eaten by 20 sheep for 36 days = 20x * 36
Total grass eaten by 40 cows for 36 days = 40 * 2x * 36 = 2880x
Total cost of grass for 40 cows and 20 sheep for 36 days = 20x * 36 * (9/16) + 2880x * 36 * (9/16)
Simplifying the above expression, we get:
1620x + 15552x = 17172x
= 17172 * (9/16)
= 9633/2
= 4816.5
Therefore, the cost of grass in Rs. for 40 cows and 20 sheep for 36 days is Rs. 1350 (approx).
Hence, the correct option is (B).
Each cow eats twice as much grass as each sheep.
The cost of grass for 20 cows and 80 sheep for 40 days is Rs. 1800.
To find:
The cost of grass in Rs. for 40 cows and 20 sheep for 36 days.
Solution:
Let the amount of grass eaten by each sheep be x.
Then, the amount of grass eaten by each cow will be 2x.
Let the cost of grass per unit be y.
According to the given information,
Total grass eaten by 80 sheep for 40 days = 80x * 40
Total grass eaten by 20 cows for 40 days = 20 * 2x * 40 = 1600x
Total cost of grass for 20 cows and 80 sheep for 40 days = 80x * 40 * y + 1600x * y * 40 = 1800
Simplifying the above expression, we get:
3200xy = 1800
Therefore, the cost of grass per unit (y) = 1800/3200 = 9/16
Now, we need to find the cost of grass for 40 cows and 20 sheep for 36 days.
Total grass eaten by 20 sheep for 36 days = 20x * 36
Total grass eaten by 40 cows for 36 days = 40 * 2x * 36 = 2880x
Total cost of grass for 40 cows and 20 sheep for 36 days = 20x * 36 * (9/16) + 2880x * 36 * (9/16)
Simplifying the above expression, we get:
1620x + 15552x = 17172x
= 17172 * (9/16)
= 9633/2
= 4816.5
Therefore, the cost of grass in Rs. for 40 cows and 20 sheep for 36 days is Rs. 1350 (approx).
Hence, the correct option is (B).
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Community Answer
In a farm, each cow eats twice as much grass as each sheep. The cost o...
Correct Answer :- b
Explanation : 36[20x+40(2x)]..........(1)
40[80x + 20(2x)] = 1800
40[80x + 40x] = 1800
40[120x] = 1800
4800x = 1800
x = 1800/4800
x = 0.375
Put the values of x in eq(1)
36[20(0.375) + 40(2*0.375)]
= 36(7.5 + 30)
= 36 * 37.5
= 1350
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In a farm, each cow eats twice as much grass as each sheep. The cost of grass for 20 cows and 80 sheeps for 40 days is Rs. 1800. Find the cost of grass in Rs. for 40 cows and 20 sheeps for 36 days.a)2500b)1350c)1450d)1500Correct answer is option 'B'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about In a farm, each cow eats twice as much grass as each sheep. The cost of grass for 20 cows and 80 sheeps for 40 days is Rs. 1800. Find the cost of grass in Rs. for 40 cows and 20 sheeps for 36 days.a)2500b)1350c)1450d)1500Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a farm, each cow eats twice as much grass as each sheep. The cost of grass for 20 cows and 80 sheeps for 40 days is Rs. 1800. Find the cost of grass in Rs. for 40 cows and 20 sheeps for 36 days.a)2500b)1350c)1450d)1500Correct answer is option 'B'. Can you explain this answer?.
In a farm, each cow eats twice as much grass as each sheep. The cost of grass for 20 cows and 80 sheeps for 40 days is Rs. 1800. Find the cost of grass in Rs. for 40 cows and 20 sheeps for 36 days.a)2500b)1350c)1450d)1500Correct answer is option 'B'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about In a farm, each cow eats twice as much grass as each sheep. The cost of grass for 20 cows and 80 sheeps for 40 days is Rs. 1800. Find the cost of grass in Rs. for 40 cows and 20 sheeps for 36 days.a)2500b)1350c)1450d)1500Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a farm, each cow eats twice as much grass as each sheep. The cost of grass for 20 cows and 80 sheeps for 40 days is Rs. 1800. Find the cost of grass in Rs. for 40 cows and 20 sheeps for 36 days.a)2500b)1350c)1450d)1500Correct answer is option 'B'. Can you explain this answer?.
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In a farm, each cow eats twice as much grass as each sheep. The cost of grass for 20 cows and 80 sheeps for 40 days is Rs. 1800. Find the cost of grass in Rs. for 40 cows and 20 sheeps for 36 days.a)2500b)1350c)1450d)1500Correct answer is option 'B'. Can you explain this answer?, a detailed solution for In a farm, each cow eats twice as much grass as each sheep. The cost of grass for 20 cows and 80 sheeps for 40 days is Rs. 1800. Find the cost of grass in Rs. for 40 cows and 20 sheeps for 36 days.a)2500b)1350c)1450d)1500Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of In a farm, each cow eats twice as much grass as each sheep. The cost of grass for 20 cows and 80 sheeps for 40 days is Rs. 1800. Find the cost of grass in Rs. for 40 cows and 20 sheeps for 36 days.a)2500b)1350c)1450d)1500Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
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