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By selling a pencil for Rs. 76, there is a profit of 52%, if it is sold for Rs. 75, then the profit percent would be:
- a)44%
- b)46%
- c)48%
- d)50%
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
By selling a pencil for Rs. 76, there is a profit of 52%, if it is sol...
Let the cost price of the pencil be 100x,
By selling a pencil for Rs. 76, there is a profit of 52%,
⇒ 152x = 76
⇒ x = 0.50
⇒ Cost Price = Rs. 50
Now it is sold for Rs. 75
∴ Profit percentage = 25/50 × 100 = 50%
By selling a pencil for Rs. 76, there is a profit of 52%,
⇒ 152x = 76
⇒ x = 0.50
⇒ Cost Price = Rs. 50
Now it is sold for Rs. 75
∴ Profit percentage = 25/50 × 100 = 50%
Most Upvoted Answer
By selling a pencil for Rs. 76, there is a profit of 52%, if it is sol...
To find the profit percentage, we need to know the cost price of the pencil.
Let's assume the cost price of the pencil is Rs. x.
Profit Percentage when the pencil is sold for Rs. 76:
Profit = Selling Price - Cost Price = Rs. 76 - x
Profit Percentage = (Profit / Cost Price) * 100 = (76 - x) / x * 100
Given that the profit percentage is 52%, we can write the equation as:
(76 - x) / x * 100 = 52
Now, let's solve this equation to find the value of x.
Simplifying the equation:
76 - x = (52/100) * x
76 - x = 0.52x
76 = 1.52x
x = 76 / 1.52
x = 50
Therefore, the cost price of the pencil is Rs. 50.
Profit Percentage when the pencil is sold for Rs. 75:
Profit = Selling Price - Cost Price = Rs. 75 - 50 = Rs. 25
Profit Percentage = (Profit / Cost Price) * 100 = 25 / 50 * 100 = 50%
Hence, the profit percentage when the pencil is sold for Rs. 75 is 50%.
Therefore, the correct answer is option D) 50%.
Let's assume the cost price of the pencil is Rs. x.
Profit Percentage when the pencil is sold for Rs. 76:
Profit = Selling Price - Cost Price = Rs. 76 - x
Profit Percentage = (Profit / Cost Price) * 100 = (76 - x) / x * 100
Given that the profit percentage is 52%, we can write the equation as:
(76 - x) / x * 100 = 52
Now, let's solve this equation to find the value of x.
Simplifying the equation:
76 - x = (52/100) * x
76 - x = 0.52x
76 = 1.52x
x = 76 / 1.52
x = 50
Therefore, the cost price of the pencil is Rs. 50.
Profit Percentage when the pencil is sold for Rs. 75:
Profit = Selling Price - Cost Price = Rs. 75 - 50 = Rs. 25
Profit Percentage = (Profit / Cost Price) * 100 = 25 / 50 * 100 = 50%
Hence, the profit percentage when the pencil is sold for Rs. 75 is 50%.
Therefore, the correct answer is option D) 50%.
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By selling a pencil for Rs. 76, there is a profit of 52%, if it is sold for Rs. 75, then the profit percent would be:a)44%b)46%c)48%d)50%Correct answer is option 'D'. Can you explain this answer?
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