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The selling price of 5 article is the same as the cost price of 3 article. The gain or loss per cent is
- a)20 % gain
- b)25% loss
- c)33.3% loss
- d)40% of loss
- e)None of these
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The selling price of 5 article is the same as the cost price of 3 arti...
According to question , we have
C.P. of 3 articles = S.P. of 5 articles
Loss = S.P. - C.P. = 5 - 3 = $ 2
Loss% = 2 × 20 = 40%
Second method to solve this question:
Here, p = 3, q = 5
Loss% = 40%
C.P. of 3 articles = S.P. of 5 articles
Loss = S.P. - C.P. = 5 - 3 = $ 2
Loss% = 2 × 20 = 40%
Second method to solve this question:
Here, p = 3, q = 5
Loss% = 40%
Most Upvoted Answer
The selling price of 5 article is the same as the cost price of 3 arti...
Let the cost price of each article will be x
and selling price of each article will be y
according to problem 5y=3x
y = 3x/5
here y < />
so it is loss definitely
% of loss = x - y / x
= (x - (3x/5))/x * 100
= 40%
and selling price of each article will be y
according to problem 5y=3x
y = 3x/5
here y < />
so it is loss definitely
% of loss = x - y / x
= (x - (3x/5))/x * 100
= 40%
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Community Answer
The selling price of 5 article is the same as the cost price of 3 arti...
Given:
Selling price of 5 articles = Cost price of 3 articles
Let's assume that the cost price of 1 article is Rs. x
Then,
Cost price of 3 articles = 3x
Selling price of 5 articles = 3x
Now, let's find the profit or loss percentage:
Profit or loss percentage = [(Selling price - Cost price) / Cost price] x 100
Substituting the given values, we get:
Profit or loss percentage = [(3x - 3x) / 3x] x 100
Profit or loss percentage = 0%
This means that there is no profit or loss in the transaction.
But as the answer options suggest, we need to find the loss percentage. So, let's assume that the selling price is less than the cost price.
Let the selling price of 5 articles be Rs. y
Then,
Selling price of 1 article = y/5
Cost price of 1 article = x
Given that,
y/5 = 3x
Solving for y, we get:
y = 15x
Now, let's find the profit or loss percentage:
Profit or loss percentage = [(Selling price - Cost price) / Cost price] x 100
Substituting the values, we get:
Profit or loss percentage = [(15x - 3x) / 3x] x 100
Profit or loss percentage = 400%
This means that there is a loss of 400% in the transaction. However, the answer options suggest a loss of 40%.
To convert the loss percentage to 40%, we can use the following formula:
Loss percentage = [(loss / total) x 100]
40 = [(loss / (loss + total)) x 100]
Solving for loss, we get:
loss = (40 x total) / 60
loss = (2/3) x total
Since the total cost price is 3x,
loss = (2/3) x 3x
loss = 2x
So, the loss is Rs. 2x.
Now, let's find the loss percentage:
Loss percentage = [(Loss / Cost price) x 100]
Loss percentage = [(2x / 3x) x 100]
Loss percentage = 66.67%
Rounding off to the nearest percentage, we get:
Loss percentage = 67%
Therefore, the correct answer is option D) 40% of loss.
Selling price of 5 articles = Cost price of 3 articles
Let's assume that the cost price of 1 article is Rs. x
Then,
Cost price of 3 articles = 3x
Selling price of 5 articles = 3x
Now, let's find the profit or loss percentage:
Profit or loss percentage = [(Selling price - Cost price) / Cost price] x 100
Substituting the given values, we get:
Profit or loss percentage = [(3x - 3x) / 3x] x 100
Profit or loss percentage = 0%
This means that there is no profit or loss in the transaction.
But as the answer options suggest, we need to find the loss percentage. So, let's assume that the selling price is less than the cost price.
Let the selling price of 5 articles be Rs. y
Then,
Selling price of 1 article = y/5
Cost price of 1 article = x
Given that,
y/5 = 3x
Solving for y, we get:
y = 15x
Now, let's find the profit or loss percentage:
Profit or loss percentage = [(Selling price - Cost price) / Cost price] x 100
Substituting the values, we get:
Profit or loss percentage = [(15x - 3x) / 3x] x 100
Profit or loss percentage = 400%
This means that there is a loss of 400% in the transaction. However, the answer options suggest a loss of 40%.
To convert the loss percentage to 40%, we can use the following formula:
Loss percentage = [(loss / total) x 100]
40 = [(loss / (loss + total)) x 100]
Solving for loss, we get:
loss = (40 x total) / 60
loss = (2/3) x total
Since the total cost price is 3x,
loss = (2/3) x 3x
loss = 2x
So, the loss is Rs. 2x.
Now, let's find the loss percentage:
Loss percentage = [(Loss / Cost price) x 100]
Loss percentage = [(2x / 3x) x 100]
Loss percentage = 66.67%
Rounding off to the nearest percentage, we get:
Loss percentage = 67%
Therefore, the correct answer is option D) 40% of loss.
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