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A man got 4 horse and 9 cows at Rs 1340. He sells the horse at a profit of 10% and cows at 20% and his whole gain is Rs 188. What price did he by the horse. Chapter pair of linear equation in two variable?
Most Upvoted Answer
A man got 4 horse and 9 cows at Rs 1340. He sells the horse at a profi...
H = horses
c = cows
4h + 9c = 1340 -------- (i)
4(10/100 h) + 9(20/100 c) = 188
0.4h + 1.8c = 188 -------- (ii)
Solving (i) and (ii) simultaneously
4h + 9c = 1340 -------- (i)
9c = 1340 – 4h
c = (1340 – 4h)/9
Substitute in (ii)
0.4h + 1.8(1340 – 4h)/9 = 188 -------- (ii)
3.6h + 1.8(1340 – 4h) = 1692
3.6 h - 7.2h + 2412 = 1692
-3.6h = -720
h = 200
He paid Rs. 200 for each horse.
Total cost( 4×200) = 800.
That's all🙂
c = cows
4h + 9c = 1340 -------- (i)
4(10/100 h) + 9(20/100 c) = 188
0.4h + 1.8c = 188 -------- (ii)
Solving (i) and (ii) simultaneously
4h + 9c = 1340 -------- (i)
9c = 1340 – 4h
c = (1340 – 4h)/9
Substitute in (ii)
0.4h + 1.8(1340 – 4h)/9 = 188 -------- (ii)
3.6h + 1.8(1340 – 4h) = 1692
3.6 h - 7.2h + 2412 = 1692
-3.6h = -720
h = 200
He paid Rs. 200 for each horse.
Total cost( 4×200) = 800.
That's all🙂
Community Answer
A man got 4 horse and 9 cows at Rs 1340. He sells the horse at a profi...
Introduction:
This problem involves the concept of pair of linear equations in two variables. We need to use algebraic equations to solve this problem.
Given Information:
- A man bought 4 horses and 9 cows for Rs 1340.
- He sells the horses at 10% profit and cows at 20% profit.
- His total gain is Rs 188.
Let:
- Cost of 1 horse = x
- Cost of 1 cow = y
Equations:
- 4x + 9y = 1340 (Equation 1)
- 1.1(4x) + 1.2(9y) - 1340 = 188 (Equation 2)
Solution:
- Simplifying Equation 2, we get: 4.4x + 10.8y = 1528 (Equation 3)
- Multiplying Equation 1 by 4.4, we get: 17.6x + 39.6y = 5896 (Equation 4)
- Subtracting Equation 3 from Equation 4, we get: 13.2x + 29.88y = 4368
- Solving for x, we get: x = 240
- Substituting x = 240 in Equation 1, we get: y = 100
Answer:
The man bought each horse for Rs 240.
This problem involves the concept of pair of linear equations in two variables. We need to use algebraic equations to solve this problem.
Given Information:
- A man bought 4 horses and 9 cows for Rs 1340.
- He sells the horses at 10% profit and cows at 20% profit.
- His total gain is Rs 188.
Let:
- Cost of 1 horse = x
- Cost of 1 cow = y
Equations:
- 4x + 9y = 1340 (Equation 1)
- 1.1(4x) + 1.2(9y) - 1340 = 188 (Equation 2)
Solution:
- Simplifying Equation 2, we get: 4.4x + 10.8y = 1528 (Equation 3)
- Multiplying Equation 1 by 4.4, we get: 17.6x + 39.6y = 5896 (Equation 4)
- Subtracting Equation 3 from Equation 4, we get: 13.2x + 29.88y = 4368
- Solving for x, we get: x = 240
- Substituting x = 240 in Equation 1, we get: y = 100
Answer:
The man bought each horse for Rs 240.
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A man got 4 horse and 9 cows at Rs 1340. He sells the horse at a profit of 10% and cows at 20% and his whole gain is Rs 188. What price did he by the horse. Chapter pair of linear equation in two variable?
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A man got 4 horse and 9 cows at Rs 1340. He sells the horse at a profit of 10% and cows at 20% and his whole gain is Rs 188. What price did he by the horse. Chapter pair of linear equation in two variable? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A man got 4 horse and 9 cows at Rs 1340. He sells the horse at a profit of 10% and cows at 20% and his whole gain is Rs 188. What price did he by the horse. Chapter pair of linear equation in two variable? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man got 4 horse and 9 cows at Rs 1340. He sells the horse at a profit of 10% and cows at 20% and his whole gain is Rs 188. What price did he by the horse. Chapter pair of linear equation in two variable?.
A man got 4 horse and 9 cows at Rs 1340. He sells the horse at a profit of 10% and cows at 20% and his whole gain is Rs 188. What price did he by the horse. Chapter pair of linear equation in two variable? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A man got 4 horse and 9 cows at Rs 1340. He sells the horse at a profit of 10% and cows at 20% and his whole gain is Rs 188. What price did he by the horse. Chapter pair of linear equation in two variable? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man got 4 horse and 9 cows at Rs 1340. He sells the horse at a profit of 10% and cows at 20% and his whole gain is Rs 188. What price did he by the horse. Chapter pair of linear equation in two variable?.
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