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The cost of 25 items is same as the revenue earned by selling x items. Find x, if the profit made in the transaction is 25%.
- a)25
- b)16.67
- c)20
- d)32
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The cost of 25 items is same as the revenue earned by selling x items....
Let the cost price of one item be Rs. A.
⇒ Selling price to make 25% profit = A × 1.25 = 1.25 A
Since the cost of 25 items is the same as the revenue earned by selling x items,
⇒ 25 × A = 1.25 A × x
∴ x = 20
⇒ Selling price to make 25% profit = A × 1.25 = 1.25 A
Since the cost of 25 items is the same as the revenue earned by selling x items,
⇒ 25 × A = 1.25 A × x
∴ x = 20
Most Upvoted Answer
The cost of 25 items is same as the revenue earned by selling x items....
Given information:
- The cost of 25 items is the same as the revenue earned by selling x items.
- The profit made in the transaction is 25%.
To find: The value of x.
Let's assume the cost price of each item is C and the selling price of each item is S.
Cost of 25 items = 25C
Revenue earned by selling x items = xS
Profit percentage = (Profit / Cost price) * 100
We are given that the profit percentage is 25%. Therefore,
Profit percentage = 25% = (Profit / Cost price) * 100
Profit = (25/100) * Cost price
Since the cost price is the same as the selling price for x items, we can write it as:
Cost price = Selling price = S
Profit = (25/100) * S
As per the given information, the cost of 25 items is the same as the revenue earned by selling x items. Therefore,
25C = xS
Now, let's substitute the value of profit into the equation:
25C = xS + (25/100) * S
To simplify the equation, we can divide both sides by S:
25C/S = x + (25/100)
Since C/S represents the cost price percentage, which is always 100%,
25 = x + (25/100)
Let's solve for x:
x = 25 - (25/100)
x = 25 - 0.25
x = 24.75
Therefore, the value of x is approximately 24.75.
The closest option to 24.75 is 25, which is option A. However, it is important to note that option A is not an exact match, so it may not be the correct answer. The correct answer would be option C (20) only if there is a rounding error in the given options.
- The cost of 25 items is the same as the revenue earned by selling x items.
- The profit made in the transaction is 25%.
To find: The value of x.
Let's assume the cost price of each item is C and the selling price of each item is S.
Cost of 25 items = 25C
Revenue earned by selling x items = xS
Profit percentage = (Profit / Cost price) * 100
We are given that the profit percentage is 25%. Therefore,
Profit percentage = 25% = (Profit / Cost price) * 100
Profit = (25/100) * Cost price
Since the cost price is the same as the selling price for x items, we can write it as:
Cost price = Selling price = S
Profit = (25/100) * S
As per the given information, the cost of 25 items is the same as the revenue earned by selling x items. Therefore,
25C = xS
Now, let's substitute the value of profit into the equation:
25C = xS + (25/100) * S
To simplify the equation, we can divide both sides by S:
25C/S = x + (25/100)
Since C/S represents the cost price percentage, which is always 100%,
25 = x + (25/100)
Let's solve for x:
x = 25 - (25/100)
x = 25 - 0.25
x = 24.75
Therefore, the value of x is approximately 24.75.
The closest option to 24.75 is 25, which is option A. However, it is important to note that option A is not an exact match, so it may not be the correct answer. The correct answer would be option C (20) only if there is a rounding error in the given options.
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The cost of 25 items is same as the revenue earned by selling x items. Find x, if the profit made in the transaction is 25%.a)25b)16.67c)20d)32Correct answer is option 'C'. Can you explain this answer?
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