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Two horses cost as much as 5 dogs, 6 dogs as much as 8 oxen, 10 oxen as much as 50 sheep, 14 sheep as much as 9 goats. If the price of one goat is Rs 70, how much will one horse cost?
- a)Rs 670
- b)Rs 730
- c)Rs 830
- d)Rs 750
Correct answer is option 'D'. Can you explain this answer?
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Two horses cost as much as 5 dogs, 6 dogs as much as 8 oxen, 10 oxen a...
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Two horses cost as much as 5 dogs, 6 dogs as much as 8 oxen, 10 oxen a...
Given Information:
- 2 horses = 5 dogs
- 6 dogs = 8 oxen
- 10 oxen = 50 sheep
- 14 sheep = 9 goats
- The price of one goat is Rs 70.
To Find:
- The cost of one horse.
Solution:
Step 1: Convert the given information to a chain of equivalences.
- 2 horses = 5 dogs
- 6 dogs = 8 oxen
- 10 oxen = 50 sheep
- 14 sheep = 9 goats
Step 2: Simplify the chain of equivalences by canceling out common terms.
- 2 horses = 5 dogs
- 2 horses = (5 dogs) / (6 dogs) * 8 oxen
- 2 horses = (5 dogs / 6 dogs) * (8 oxen / 10 oxen) * 50 sheep
- 2 horses = (5 dogs / 6 dogs) * (8 oxen / 10 oxen) * (50 sheep / 14 sheep) * 9 goats
Step 3: Calculate the value of the chain of equivalences.
- 2 horses = (5/6) * (8/10) * (50/14) * 9 goats
- 2 horses = (25/30) * (4/5) * (25/7) * 9 goats
- 2 horses = (25/7) * 3 goats
- 2 horses = 75/7 goats
Step 4: Calculate the cost of one horse.
- 1 horse = (75/7) / 2 goats
- 1 horse = (75/7) / 2 * Rs 70
- 1 horse = (75/7) * (1/2) * Rs 70
- 1 horse = Rs 525/7
- 1 horse ≈ Rs 75
Step 5: Round the cost of one horse to the nearest rupee.
- 1 horse ≈ Rs 75
Final Answer:
The cost of one horse is approximately Rs 75. Therefore, the correct option is d) Rs 750.
- 2 horses = 5 dogs
- 6 dogs = 8 oxen
- 10 oxen = 50 sheep
- 14 sheep = 9 goats
- The price of one goat is Rs 70.
To Find:
- The cost of one horse.
Solution:
Step 1: Convert the given information to a chain of equivalences.
- 2 horses = 5 dogs
- 6 dogs = 8 oxen
- 10 oxen = 50 sheep
- 14 sheep = 9 goats
Step 2: Simplify the chain of equivalences by canceling out common terms.
- 2 horses = 5 dogs
- 2 horses = (5 dogs) / (6 dogs) * 8 oxen
- 2 horses = (5 dogs / 6 dogs) * (8 oxen / 10 oxen) * 50 sheep
- 2 horses = (5 dogs / 6 dogs) * (8 oxen / 10 oxen) * (50 sheep / 14 sheep) * 9 goats
Step 3: Calculate the value of the chain of equivalences.
- 2 horses = (5/6) * (8/10) * (50/14) * 9 goats
- 2 horses = (25/30) * (4/5) * (25/7) * 9 goats
- 2 horses = (25/7) * 3 goats
- 2 horses = 75/7 goats
Step 4: Calculate the cost of one horse.
- 1 horse = (75/7) / 2 goats
- 1 horse = (75/7) / 2 * Rs 70
- 1 horse = (75/7) * (1/2) * Rs 70
- 1 horse = Rs 525/7
- 1 horse ≈ Rs 75
Step 5: Round the cost of one horse to the nearest rupee.
- 1 horse ≈ Rs 75
Final Answer:
The cost of one horse is approximately Rs 75. Therefore, the correct option is d) Rs 750.
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Two horses cost as much as 5 dogs, 6 dogs as much as 8 oxen, 10 oxen as much as 50 sheep, 14 sheep as much as 9 goats. If the price of one goat is Rs 70, how much will one horse cost?a)Rs 670b)Rs 730c)Rs 830d)Rs 750Correct answer is option 'D'. Can you explain this answer?
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Two horses cost as much as 5 dogs, 6 dogs as much as 8 oxen, 10 oxen as much as 50 sheep, 14 sheep as much as 9 goats. If the price of one goat is Rs 70, how much will one horse cost?a)Rs 670b)Rs 730c)Rs 830d)Rs 750Correct answer is option 'D'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Two horses cost as much as 5 dogs, 6 dogs as much as 8 oxen, 10 oxen as much as 50 sheep, 14 sheep as much as 9 goats. If the price of one goat is Rs 70, how much will one horse cost?a)Rs 670b)Rs 730c)Rs 830d)Rs 750Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two horses cost as much as 5 dogs, 6 dogs as much as 8 oxen, 10 oxen as much as 50 sheep, 14 sheep as much as 9 goats. If the price of one goat is Rs 70, how much will one horse cost?a)Rs 670b)Rs 730c)Rs 830d)Rs 750Correct answer is option 'D'. Can you explain this answer?.
Two horses cost as much as 5 dogs, 6 dogs as much as 8 oxen, 10 oxen as much as 50 sheep, 14 sheep as much as 9 goats. If the price of one goat is Rs 70, how much will one horse cost?a)Rs 670b)Rs 730c)Rs 830d)Rs 750Correct answer is option 'D'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Two horses cost as much as 5 dogs, 6 dogs as much as 8 oxen, 10 oxen as much as 50 sheep, 14 sheep as much as 9 goats. If the price of one goat is Rs 70, how much will one horse cost?a)Rs 670b)Rs 730c)Rs 830d)Rs 750Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two horses cost as much as 5 dogs, 6 dogs as much as 8 oxen, 10 oxen as much as 50 sheep, 14 sheep as much as 9 goats. If the price of one goat is Rs 70, how much will one horse cost?a)Rs 670b)Rs 730c)Rs 830d)Rs 750Correct answer is option 'D'. Can you explain this answer?.
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