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The profit percentage of P and Q is same on selling the articles at Rs. 1800 each but P calculates his profit on the selling price while Q calculates it correctly on the cost price which is equal to 20%. What is the difference in their profits?
- a)40
- b)50
- c)60
- d)70
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
The profit percentage of P and Q is same on selling the articles at Rs...
Explanation:
Profit(Calculated on SP) = 20% of 1800 = 360
Profit(calculated on CP)
x + x/5 = 1800
x = 1500
Profit = 300
Difference = 360 – 300 = 60
Profit(Calculated on SP) = 20% of 1800 = 360
Profit(calculated on CP)
x + x/5 = 1800
x = 1500
Profit = 300
Difference = 360 – 300 = 60
Most Upvoted Answer
The profit percentage of P and Q is same on selling the articles at Rs...
Given:
Selling price of each article = Rs. 1800
Profit percentage of P and Q is the same
Let us assume the cost price of each article to be Rs. x.
According to the question,
P calculates his profit on the selling price, so his profit percentage will be (Profit/Cost price) x 100, which is (1800-x)/1800 x 100.
Q calculates his profit on the cost price, so his profit percentage will be (Profit/Cost price) x 100, which is (1800-x)/x x 100.
It is given that both P and Q have the same profit percentage. Therefore,
(1800-x)/1800 x 100 = (1800-x)/x x 100
Simplifying the above equation, we get
x = Rs. 1200
Therefore, the cost price of each article is Rs. 1200.
Now, let us calculate the profit of P and Q.
Profit of P = (1800-1200)/1800 x 100 = 33.33%
Profit of Q = 20%
The difference in their profits = Profit of P - Profit of Q
= 33.33% - 20%
= 13.33%
Now, let us calculate the difference in their profits in terms of money.
Profit earned by P = 33.33% of 1800 = Rs. 600
Profit earned by Q = 20% of 1200 = Rs. 240
Difference in their profits = Rs. 600 - Rs. 240 = Rs. 360
Therefore, the difference in their profits is Rs. 360, which is option (c).
Selling price of each article = Rs. 1800
Profit percentage of P and Q is the same
Let us assume the cost price of each article to be Rs. x.
According to the question,
P calculates his profit on the selling price, so his profit percentage will be (Profit/Cost price) x 100, which is (1800-x)/1800 x 100.
Q calculates his profit on the cost price, so his profit percentage will be (Profit/Cost price) x 100, which is (1800-x)/x x 100.
It is given that both P and Q have the same profit percentage. Therefore,
(1800-x)/1800 x 100 = (1800-x)/x x 100
Simplifying the above equation, we get
x = Rs. 1200
Therefore, the cost price of each article is Rs. 1200.
Now, let us calculate the profit of P and Q.
Profit of P = (1800-1200)/1800 x 100 = 33.33%
Profit of Q = 20%
The difference in their profits = Profit of P - Profit of Q
= 33.33% - 20%
= 13.33%
Now, let us calculate the difference in their profits in terms of money.
Profit earned by P = 33.33% of 1800 = Rs. 600
Profit earned by Q = 20% of 1200 = Rs. 240
Difference in their profits = Rs. 600 - Rs. 240 = Rs. 360
Therefore, the difference in their profits is Rs. 360, which is option (c).
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Community Answer
The profit percentage of P and Q is same on selling the articles at Rs...
Explanation:
Profit(Calculated on SP) = 20% of 1800 = 360
Profit(calculated on CP)
x + x/5 = 1800
x = 1500
Profit = 300
Difference = 360 – 300 = 60
Profit(Calculated on SP) = 20% of 1800 = 360
Profit(calculated on CP)
x + x/5 = 1800
x = 1500
Profit = 300
Difference = 360 – 300 = 60
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The profit percentage of P and Q is same on selling the articles at Rs. 1800 each but P calculates his profit on the selling price while Q calculates it correctly on the cost price which is equal to 20%. What is the difference in their profits?a)40b)50c)60d)70e)None of theseCorrect answer is option 'C'. Can you explain this answer?
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The profit percentage of P and Q is same on selling the articles at Rs. 1800 each but P calculates his profit on the selling price while Q calculates it correctly on the cost price which is equal to 20%. What is the difference in their profits?a)40b)50c)60d)70e)None of theseCorrect answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about The profit percentage of P and Q is same on selling the articles at Rs. 1800 each but P calculates his profit on the selling price while Q calculates it correctly on the cost price which is equal to 20%. What is the difference in their profits?a)40b)50c)60d)70e)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The profit percentage of P and Q is same on selling the articles at Rs. 1800 each but P calculates his profit on the selling price while Q calculates it correctly on the cost price which is equal to 20%. What is the difference in their profits?a)40b)50c)60d)70e)None of theseCorrect answer is option 'C'. Can you explain this answer?.
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