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The difference between cost price and selling price is Rs. 12.54. If loss percentage is 33%, then what is the cost price (in Rs.)?
- a)35.44
- b)50.54
- c)41
- d)38
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
The difference between cost price and selling price is Rs. 12.54. If l...
Given that,
C.P - S.P = 12.54
Loss % = 33%
We know that,
Loss % = (C.P - S.P)/(C.P) × 100
⇒ 33 = (12.54)/(C.P) × 100
∴ C.P = (12.54)/33 × 100 = Rs. 38
C.P - S.P = 12.54
Loss % = 33%
We know that,
Loss % = (C.P - S.P)/(C.P) × 100
⇒ 33 = (12.54)/(C.P) × 100
∴ C.P = (12.54)/33 × 100 = Rs. 38
Most Upvoted Answer
The difference between cost price and selling price is Rs. 12.54. If l...
Problem:
The difference between cost price and selling price is Rs. 12.54. If the loss percentage is 33%, then what is the cost price (in Rs.)?
Solution:
To solve this problem, we need to use the formula for calculating loss percentage and the relationship between cost price, selling price, and loss.
Given data:
Difference between cost price and selling price = Rs. 12.54
Loss percentage = 33%
Calculating loss:
Let's assume the cost price (CP) is x.
Loss = CP - Selling Price (SP)
Loss percentage = (Loss / CP) * 100
Given loss percentage = 33%
33 = (Loss / x) * 100
Simplifying the equation:
33 = (Loss * 100) / x
33x = 100 * Loss
33x = 100 * (CP - SP)
33x = 100 * (x - (x + 12.54))
33x = 100 * (x - x - 12.54)
33x = 100 * (-12.54)
33x = -1254
Dividing both sides by 33:
x = -1254 / 33
x = -38
Since cost price cannot be negative, we can conclude that there is an error in the given data or the question itself.
Therefore, the answer is not D.
The difference between cost price and selling price is Rs. 12.54. If the loss percentage is 33%, then what is the cost price (in Rs.)?
Solution:
To solve this problem, we need to use the formula for calculating loss percentage and the relationship between cost price, selling price, and loss.
Given data:
Difference between cost price and selling price = Rs. 12.54
Loss percentage = 33%
Calculating loss:
Let's assume the cost price (CP) is x.
Loss = CP - Selling Price (SP)
Loss percentage = (Loss / CP) * 100
Given loss percentage = 33%
33 = (Loss / x) * 100
Simplifying the equation:
33 = (Loss * 100) / x
33x = 100 * Loss
33x = 100 * (CP - SP)
33x = 100 * (x - (x + 12.54))
33x = 100 * (x - x - 12.54)
33x = 100 * (-12.54)
33x = -1254
Dividing both sides by 33:
x = -1254 / 33
x = -38
Since cost price cannot be negative, we can conclude that there is an error in the given data or the question itself.
Therefore, the answer is not D.
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The difference between cost price and selling price is Rs. 12.54. If loss percentage is 33%, then what is the cost price (in Rs.)?a)35.44b)50.54c)41d)38Correct answer is option 'D'. Can you explain this answer?
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