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A trader bought two horses for ₹19,500. He sold one at a loss of 20% and the other at a profit of 15%. If the selling price of each horse is the same, then their cost prices are respectively. (SSC CGL 1st Sit. 2011)
- a)₹ 10,000 and ₹ 9,500
- b)₹ 11,500 and ₹ 8,000
- c)₹ 12,000 and ₹ 7,500
- d)₹ 10,500 and ₹ 9,000
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
A trader bought two horses for 19,500. He sold one at a loss of 20% an...
Given:
- Trader bought two horses for 19,500.
- One horse was sold at a loss of 20%.
- The other horse was sold at a profit of 15%.
- The selling price of each horse is the same.
To find:
The cost prices of the horses.
Solution:
Let's assume the cost price of the first horse is "x" and the cost price of the second horse is "y".
Step 1: Formulate equations based on the given information.
- The sum of the cost prices of the two horses is 19,500.
x + y = 19,500 --(1)
- The selling price of each horse is the same.
Selling price of first horse = Selling price of second horse
- Selling price = Cost price + Profit
(x - 20% of x) = (y + 15% of y)
Step 2: Simplify the equation.
- x - 0.2x = y + 0.15y
- 0.8x = 1.15y --(2)
Now, we have two equations (1) and (2) with two variables x and y. We can solve these equations to find the values of x and y.
Step 3: Solve the equations.
From equation (1), we can write x in terms of y.
x = 19,500 - y
Substitute the value of x in equation (2).
0.8(19,500 - y) = 1.15y
Simplify the equation.
15,600 - 0.8y = 1.15y
Combine like terms.
15,600 = 1.95y
Divide both sides by 1.95.
y = 15,600 / 1.95
y = 8,000
Step 4: Substitute the value of y in equation (1) to find x.
x + 8,000 = 19,500
x = 19,500 - 8,000
x = 11,500
Answer:
The cost prices of the two horses are 11,500 and 8,000, respectively. Therefore, option B is the correct answer.
- Trader bought two horses for 19,500.
- One horse was sold at a loss of 20%.
- The other horse was sold at a profit of 15%.
- The selling price of each horse is the same.
To find:
The cost prices of the horses.
Solution:
Let's assume the cost price of the first horse is "x" and the cost price of the second horse is "y".
Step 1: Formulate equations based on the given information.
- The sum of the cost prices of the two horses is 19,500.
x + y = 19,500 --(1)
- The selling price of each horse is the same.
Selling price of first horse = Selling price of second horse
- Selling price = Cost price + Profit
(x - 20% of x) = (y + 15% of y)
Step 2: Simplify the equation.
- x - 0.2x = y + 0.15y
- 0.8x = 1.15y --(2)
Now, we have two equations (1) and (2) with two variables x and y. We can solve these equations to find the values of x and y.
Step 3: Solve the equations.
From equation (1), we can write x in terms of y.
x = 19,500 - y
Substitute the value of x in equation (2).
0.8(19,500 - y) = 1.15y
Simplify the equation.
15,600 - 0.8y = 1.15y
Combine like terms.
15,600 = 1.95y
Divide both sides by 1.95.
y = 15,600 / 1.95
y = 8,000
Step 4: Substitute the value of y in equation (1) to find x.
x + 8,000 = 19,500
x = 19,500 - 8,000
x = 11,500
Answer:
The cost prices of the two horses are 11,500 and 8,000, respectively. Therefore, option B is the correct answer.
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Community Answer
A trader bought two horses for 19,500. He sold one at a loss of 20% an...
The sum of cost prices of two horses is ₹ x. One of them is sold at a loss of a% and other is sold at a gain of b% and their S.P. is same.
∴ C.P. of horse sold at a loss of a%
∴ C.P. of second article = ₹ 8000.
∴ C.P. of horse sold at a loss of a%
∴ C.P. of second article = ₹ 8000.
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A trader bought two horses for 19,500. He sold one at a loss of 20% and the other at a profit of 15%. If the selling price of each horse is the same, then their cost prices are respectively. (SSC CGL 1st Sit. 2011)a)10,000 and 9,500b)11,500 and 8,000c) 12,000 and 7,500d) 10,500 and 9,000Correct answer is option 'B'. Can you explain this answer?
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A trader bought two horses for 19,500. He sold one at a loss of 20% and the other at a profit of 15%. If the selling price of each horse is the same, then their cost prices are respectively. (SSC CGL 1st Sit. 2011)a)10,000 and 9,500b)11,500 and 8,000c) 12,000 and 7,500d) 10,500 and 9,000Correct answer is option 'B'. Can you explain this answer? for SSC CGL 2024 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about A trader bought two horses for 19,500. He sold one at a loss of 20% and the other at a profit of 15%. If the selling price of each horse is the same, then their cost prices are respectively. (SSC CGL 1st Sit. 2011)a)10,000 and 9,500b)11,500 and 8,000c) 12,000 and 7,500d) 10,500 and 9,000Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A trader bought two horses for 19,500. He sold one at a loss of 20% and the other at a profit of 15%. If the selling price of each horse is the same, then their cost prices are respectively. (SSC CGL 1st Sit. 2011)a)10,000 and 9,500b)11,500 and 8,000c) 12,000 and 7,500d) 10,500 and 9,000Correct answer is option 'B'. Can you explain this answer?.
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