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An automobile manufacture on 35% profit by selling each car for 452000 if production cost increase by 20% what should be the new selling price of cars as to get a profit of 20%?
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An automobile manufacture on 35% profit by selling each car for 452000...
To determine the new selling price of the cars after a 20% increase in production cost, while aiming for a 20% profit margin, we need to break down the calculations step-by-step.
Initial Selling Price and Profit Calculation
- **Selling Price (SP)**: ₹452,000
- **Profit Percentage**: 35%
Using the formula for profit:
- **Cost Price (CP)** can be calculated as:
\[
CP = \frac{SP}{1 + \text{Profit Percentage}}
\]
- Therefore,
\[
CP = \frac{452000}{1 + 0.35} = \frac{452000}{1.35} \approx ₹334,814.81
\]
Increased Production Cost
- **Increase in Cost**: 20% of CP
\[
\text{New CP} = CP + (0.20 \times CP) = CP \times 1.20 = 334814.81 \times 1.20 \approx ₹401,777.77
\]
New Selling Price for Desired Profit
- **Target Profit Percentage**: 20%
To find the new selling price (NSP):
\[
NSP = \text{New CP} \times (1 + \text{Target Profit Percentage})
\]
\[
NSP = 401777.77 \times (1 + 0.20) = 401777.77 \times 1.20 \approx ₹482,133.32
\]
Conclusion
- The new selling price to achieve a 20% profit after a 20% increase in production cost should be approximately **₹482,133.32**.
Initial Selling Price and Profit Calculation
- **Selling Price (SP)**: ₹452,000
- **Profit Percentage**: 35%
Using the formula for profit:
- **Cost Price (CP)** can be calculated as:
\[
CP = \frac{SP}{1 + \text{Profit Percentage}}
\]
- Therefore,
\[
CP = \frac{452000}{1 + 0.35} = \frac{452000}{1.35} \approx ₹334,814.81
\]
Increased Production Cost
- **Increase in Cost**: 20% of CP
\[
\text{New CP} = CP + (0.20 \times CP) = CP \times 1.20 = 334814.81 \times 1.20 \approx ₹401,777.77
\]
New Selling Price for Desired Profit
- **Target Profit Percentage**: 20%
To find the new selling price (NSP):
\[
NSP = \text{New CP} \times (1 + \text{Target Profit Percentage})
\]
\[
NSP = 401777.77 \times (1 + 0.20) = 401777.77 \times 1.20 \approx ₹482,133.32
\]
Conclusion
- The new selling price to achieve a 20% profit after a 20% increase in production cost should be approximately **₹482,133.32**.
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An automobile manufacture on 35% profit by selling each car for 452000 if production cost increase by 20% what should be the new selling price of cars as to get a profit of 20%?
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An automobile manufacture on 35% profit by selling each car for 452000 if production cost increase by 20% what should be the new selling price of cars as to get a profit of 20%? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about An automobile manufacture on 35% profit by selling each car for 452000 if production cost increase by 20% what should be the new selling price of cars as to get a profit of 20%? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An automobile manufacture on 35% profit by selling each car for 452000 if production cost increase by 20% what should be the new selling price of cars as to get a profit of 20%?.
An automobile manufacture on 35% profit by selling each car for 452000 if production cost increase by 20% what should be the new selling price of cars as to get a profit of 20%? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about An automobile manufacture on 35% profit by selling each car for 452000 if production cost increase by 20% what should be the new selling price of cars as to get a profit of 20%? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An automobile manufacture on 35% profit by selling each car for 452000 if production cost increase by 20% what should be the new selling price of cars as to get a profit of 20%?.
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