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The selling price of 12 objects is equal to the cost price of 9 objects. Find the loss or profit percentage?
- a)28% profit
- b)25% loss
- c)23% profit
- d)31% loss
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
The selling price of 12 objects is equal to the cost price of 9 objec...
S.P. of 12 objects = C.P. of 9 objects
View all questions of this test
Clearly there is a loss as 12 articles are sold for what 9 articles are bought.
L% = L/C.P.×100 = 3/12 × 100 = 25%
Most Upvoted Answer
The selling price of 12 objects is equal to the cost price of 9 objec...
Given, Selling Price of 12 objects = Cost Price of 9 objects
Let the Cost Price of each object be x.
Then, Selling Price of 12 objects = 12 * Selling Price of each object = 12 * (x + Profit)
And, Cost Price of 9 objects = 9 * x
As per the given condition, the above two values are equal.
Therefore, 12 * (x + Profit) = 9 * x
Simplifying the above expression, we get:
12x + 12Profit = 9x
3x = -12Profit
x = -4Profit
This implies that the Cost Price of each object is 4 times the Profit.
Now, to find the Profit/Loss percentage, we need to compare the Selling Price and the Cost Price of 12 objects.
Selling Price of 12 objects = 12 * (x + Profit) = 12 * (-3Profit) = -36Profit
Cost Price of 12 objects = 12 * x = 12 * (-4Profit) = -48Profit
Profit/Loss = Selling Price - Cost Price = (-36Profit) - (-48Profit) = 12Profit
Profit Percentage = (Profit/Loss) * 100 / Cost Price
Substituting the value of Cost Price, we get:
Profit Percentage = (12Profit) * 100 / (-48Profit) = -25%
Therefore, the answer is option B, which is a 25% loss.
Let the Cost Price of each object be x.
Then, Selling Price of 12 objects = 12 * Selling Price of each object = 12 * (x + Profit)
And, Cost Price of 9 objects = 9 * x
As per the given condition, the above two values are equal.
Therefore, 12 * (x + Profit) = 9 * x
Simplifying the above expression, we get:
12x + 12Profit = 9x
3x = -12Profit
x = -4Profit
This implies that the Cost Price of each object is 4 times the Profit.
Now, to find the Profit/Loss percentage, we need to compare the Selling Price and the Cost Price of 12 objects.
Selling Price of 12 objects = 12 * (x + Profit) = 12 * (-3Profit) = -36Profit
Cost Price of 12 objects = 12 * x = 12 * (-4Profit) = -48Profit
Profit/Loss = Selling Price - Cost Price = (-36Profit) - (-48Profit) = 12Profit
Profit Percentage = (Profit/Loss) * 100 / Cost Price
Substituting the value of Cost Price, we get:
Profit Percentage = (12Profit) * 100 / (-48Profit) = -25%
Therefore, the answer is option B, which is a 25% loss.
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The selling price of 12 objects is equal to the cost price of 9 objects. Find the loss or profit percentage?a)28% profitb)25% lossc)23% profitd)31% lossCorrect answer is option 'B'. Can you explain this answer?
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