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A person sell two horses for rupees 480 each. On the first horse he gains 25 percent and on the second horse he losses 25 percent. Find the percent gain or loss in the transaction.
- a)loss 6.75%
- b)gain 6.75%
- c)loss 6.25%
- d)gain 6.25%
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
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A person sell two horses for rupees 480 each. On the first horse he ga...
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A person sell two horses for rupees 480 each. On the first horse he ga...
To find the percent gain or loss in the transaction, we need to calculate the overall gain or loss percentage considering both horses.
Let's assume the cost price of the first horse is 'x' rupees.
According to the given information, the person gains 25% on the first horse. So, the selling price of the first horse would be:
Selling price of first horse = Cost price of first horse + Gain
= x + (25/100)*x
= x + (1/4)x
= (5/4)x
Similarly, let's assume the cost price of the second horse is 'y' rupees.
According to the given information, the person loses 25% on the second horse. So, the selling price of the second horse would be:
Selling price of second horse = Cost price of second horse - Loss
= y - (25/100)*y
= y - (1/4)y
= (3/4)y
The person sells both horses for 480 rupees each. So, we can write the equation:
(5/4)x + (3/4)y = 480
Now, let's solve this equation to find the values of 'x' and 'y'.
To make the calculation simpler, let's assume x = 4a and y = 4b.
Substituting these values in the equation:
(5/4)(4a) + (3/4)(4b) = 480
5a + 3b = 480
Now, let's try some values that satisfy this equation. Let's take a = 15 and b = 75.
Substituting these values in the equation:
5(15) + 3(75) = 480
75 + 225 = 480
300 = 480
The equation is not satisfied with these values. It means our assumption is incorrect.
Let's try another set of values. Let's take a = 60 and b = 60.
Substituting these values in the equation:
5(60) + 3(60) = 480
300 + 180 = 480
480 = 480
The equation is satisfied with these values. It means our assumption is correct.
So, the cost price of the first horse (x) = 4a = 4(60) = 240 rupees.
And the cost price of the second horse (y) = 4b = 4(60) = 240 rupees.
Now, let's calculate the overall gain or loss percentage:
Overall gain/loss = (Total selling price - Total cost price) / Total cost price * 100
= (480 + 480 - (240 + 240)) / (240 + 240) * 100
= (720 - 480) / 480 * 100
= 240 / 480 * 100
= 0.5 * 100
= 50
From the calculation, we can see that the overall gain/loss percentage is 50%. But none of the given options match this value.
So, the correct answer is None of these.
Let's assume the cost price of the first horse is 'x' rupees.
According to the given information, the person gains 25% on the first horse. So, the selling price of the first horse would be:
Selling price of first horse = Cost price of first horse + Gain
= x + (25/100)*x
= x + (1/4)x
= (5/4)x
Similarly, let's assume the cost price of the second horse is 'y' rupees.
According to the given information, the person loses 25% on the second horse. So, the selling price of the second horse would be:
Selling price of second horse = Cost price of second horse - Loss
= y - (25/100)*y
= y - (1/4)y
= (3/4)y
The person sells both horses for 480 rupees each. So, we can write the equation:
(5/4)x + (3/4)y = 480
Now, let's solve this equation to find the values of 'x' and 'y'.
To make the calculation simpler, let's assume x = 4a and y = 4b.
Substituting these values in the equation:
(5/4)(4a) + (3/4)(4b) = 480
5a + 3b = 480
Now, let's try some values that satisfy this equation. Let's take a = 15 and b = 75.
Substituting these values in the equation:
5(15) + 3(75) = 480
75 + 225 = 480
300 = 480
The equation is not satisfied with these values. It means our assumption is incorrect.
Let's try another set of values. Let's take a = 60 and b = 60.
Substituting these values in the equation:
5(60) + 3(60) = 480
300 + 180 = 480
480 = 480
The equation is satisfied with these values. It means our assumption is correct.
So, the cost price of the first horse (x) = 4a = 4(60) = 240 rupees.
And the cost price of the second horse (y) = 4b = 4(60) = 240 rupees.
Now, let's calculate the overall gain or loss percentage:
Overall gain/loss = (Total selling price - Total cost price) / Total cost price * 100
= (480 + 480 - (240 + 240)) / (240 + 240) * 100
= (720 - 480) / 480 * 100
= 240 / 480 * 100
= 0.5 * 100
= 50
From the calculation, we can see that the overall gain/loss percentage is 50%. But none of the given options match this value.
So, the correct answer is None of these.
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A person sell two horses for rupees 480 each. On the first horse he gains 25 percent and on the second horse he losses 25 percent. Find the percent gain or loss in the transaction.a)loss 6.75%b)gain 6.75%c)loss 6.25%d)gain 6.25%e)None of theseCorrect answer is option 'C'. 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 A person sell two horses for rupees 480 each. On the first horse he gains 25 percent and on the second horse he losses 25 percent. Find the percent gain or loss in the transaction.a)loss 6.75%b)gain 6.75%c)loss 6.25%d)gain 6.25%e)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A person sell two horses for rupees 480 each. On the first horse he gains 25 percent and on the second horse he losses 25 percent. Find the percent gain or loss in the transaction.a)loss 6.75%b)gain 6.75%c)loss 6.25%d)gain 6.25%e)None of theseCorrect answer is option 'C'. Can you explain this answer?.
A person sell two horses for rupees 480 each. On the first horse he gains 25 percent and on the second horse he losses 25 percent. Find the percent gain or loss in the transaction.a)loss 6.75%b)gain 6.75%c)loss 6.25%d)gain 6.25%e)None of theseCorrect answer is option 'C'. 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 A person sell two horses for rupees 480 each. On the first horse he gains 25 percent and on the second horse he losses 25 percent. Find the percent gain or loss in the transaction.a)loss 6.75%b)gain 6.75%c)loss 6.25%d)gain 6.25%e)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A person sell two horses for rupees 480 each. On the first horse he gains 25 percent and on the second horse he losses 25 percent. Find the percent gain or loss in the transaction.a)loss 6.75%b)gain 6.75%c)loss 6.25%d)gain 6.25%e)None of theseCorrect answer is option 'C'. Can you explain this answer?.
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A person sell two horses for rupees 480 each. On the first horse he gains 25 percent and on the second horse he losses 25 percent. Find the percent gain or loss in the transaction.a)loss 6.75%b)gain 6.75%c)loss 6.25%d)gain 6.25%e)None of theseCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for A person sell two horses for rupees 480 each. On the first horse he gains 25 percent and on the second horse he losses 25 percent. Find the percent gain or loss in the transaction.a)loss 6.75%b)gain 6.75%c)loss 6.25%d)gain 6.25%e)None of theseCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of A person sell two horses for rupees 480 each. On the first horse he gains 25 percent and on the second horse he losses 25 percent. Find the percent gain or loss in the transaction.a)loss 6.75%b)gain 6.75%c)loss 6.25%d)gain 6.25%e)None of theseCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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