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A man buys two horse for 1350 he sells one so as lose 6%and the other so as to gain 7.5% on the whole he neither gains nor loses what does each horse cost?
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A man buys two horse for 1350 he sells one so as lose 6%and the other ...
Problem: A man buys two horse for 1350 he sells one so as lose 6% and the other so as to gain 7.5%. On the whole, he neither gains nor loses. What does each horse cost?
Solution:
Let the cost of the first horse be x, and the cost of the second horse be y.
We know that x + y = 1350 ----(1)
Also, the man sells one horse at a loss of 6% and the other at a profit of 7.5%.
The selling price of the first horse is (1-6/100)x = 0.94x
The selling price of the second horse is (1+7.5/100)y = 1.075y
Since the man neither gains nor loses, the total selling price must be equal to the total cost price.
0.94x + 1.075y = 1350 ----(2)
Now, we have two equations (1) and (2) with two unknowns x and y. We can solve these equations to find the values of x and y.
Multiplying equation (1) by 0.94, we get:
0.94x + 0.94y = 1269 ----(3)
Subtracting equation (3) from equation (2), we get:
0.135y = 81
y = 600
Substituting the value of y in equation (1), we get:
x + 600 = 1350
x = 750
Therefore, the cost of the first horse is 750 and the cost of the second horse is 600.
Answer: The cost of the first horse is 750 and the cost of the second horse is 600.
Solution:
Let the cost of the first horse be x, and the cost of the second horse be y.
We know that x + y = 1350 ----(1)
Also, the man sells one horse at a loss of 6% and the other at a profit of 7.5%.
The selling price of the first horse is (1-6/100)x = 0.94x
The selling price of the second horse is (1+7.5/100)y = 1.075y
Since the man neither gains nor loses, the total selling price must be equal to the total cost price.
0.94x + 1.075y = 1350 ----(2)
Now, we have two equations (1) and (2) with two unknowns x and y. We can solve these equations to find the values of x and y.
Multiplying equation (1) by 0.94, we get:
0.94x + 0.94y = 1269 ----(3)
Subtracting equation (3) from equation (2), we get:
0.135y = 81
y = 600
Substituting the value of y in equation (1), we get:
x + 600 = 1350
x = 750
Therefore, the cost of the first horse is 750 and the cost of the second horse is 600.
Answer: The cost of the first horse is 750 and the cost of the second horse is 600.
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A man buys two horse for 1350 he sells one so as lose 6%and the other ...
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A man buys two horse for 1350 he sells one so as lose 6%and the other so as to gain 7.5% on the whole he neither gains nor loses what does each horse cost?
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A man buys two horse for 1350 he sells one so as lose 6%and the other so as to gain 7.5% on the whole he neither gains nor loses what does each horse cost? for Commerce 2024 is part of Commerce preparation. The Question and answers have been prepared according to the Commerce exam syllabus. Information about A man buys two horse for 1350 he sells one so as lose 6%and the other so as to gain 7.5% on the whole he neither gains nor loses what does each horse cost? covers all topics & solutions for Commerce 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man buys two horse for 1350 he sells one so as lose 6%and the other so as to gain 7.5% on the whole he neither gains nor loses what does each horse cost?.
A man buys two horse for 1350 he sells one so as lose 6%and the other so as to gain 7.5% on the whole he neither gains nor loses what does each horse cost? for Commerce 2024 is part of Commerce preparation. The Question and answers have been prepared according to the Commerce exam syllabus. Information about A man buys two horse for 1350 he sells one so as lose 6%and the other so as to gain 7.5% on the whole he neither gains nor loses what does each horse cost? covers all topics & solutions for Commerce 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man buys two horse for 1350 he sells one so as lose 6%and the other so as to gain 7.5% on the whole he neither gains nor loses what does each horse cost?.
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