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By selling a mobile phone for 4000 aperson loses 15% for what amount should be sell it so that he gains 10%?
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By selling a mobile phone for 4000 aperson loses 15% for what amount s...
Understanding the Loss on Sale
To find the cost price (CP) of the mobile phone, we start with the information provided. Selling the phone for 4000 results in a 15% loss.
- Formula for Loss:
\[ CP = \frac{Selling Price}{(1 - \frac{Loss \%}{100})} \]
- Calculating the Cost Price:
\[ CP = \frac{4000}{(1 - 0.15)} \]
\[ CP = \frac{4000}{0.85} \]
\[ CP = 4705.88 \]
Thus, the cost price of the mobile phone is approximately 4705.88.
Calculating the Selling Price for Gain
Next, we need to determine the selling price (SP) to achieve a 10% gain.
- Formula for Gain:
\[ SP = CP \times (1 + \frac{Gain \%}{100}) \]
- Calculating the Selling Price:
\[ SP = 4705.88 \times (1 + 0.10) \]
\[ SP = 4705.88 \times 1.10 \]
\[ SP = 5176.47 \]
Therefore, to gain 10%, the mobile phone should be sold for approximately 5176.47.
Summary of Key Steps
- Loss Calculation:
- Selling Price = 4000
- Loss = 15%
- Cost Price ≈ 4705.88
- Gain Calculation:
- Desired Gain = 10%
- Selling Price for Gain ≈ 5176.47
In conclusion, to achieve a 10% gain on the mobile phone, it should be sold for approximately 5176.47.
To find the cost price (CP) of the mobile phone, we start with the information provided. Selling the phone for 4000 results in a 15% loss.
- Formula for Loss:
\[ CP = \frac{Selling Price}{(1 - \frac{Loss \%}{100})} \]
- Calculating the Cost Price:
\[ CP = \frac{4000}{(1 - 0.15)} \]
\[ CP = \frac{4000}{0.85} \]
\[ CP = 4705.88 \]
Thus, the cost price of the mobile phone is approximately 4705.88.
Calculating the Selling Price for Gain
Next, we need to determine the selling price (SP) to achieve a 10% gain.
- Formula for Gain:
\[ SP = CP \times (1 + \frac{Gain \%}{100}) \]
- Calculating the Selling Price:
\[ SP = 4705.88 \times (1 + 0.10) \]
\[ SP = 4705.88 \times 1.10 \]
\[ SP = 5176.47 \]
Therefore, to gain 10%, the mobile phone should be sold for approximately 5176.47.
Summary of Key Steps
- Loss Calculation:
- Selling Price = 4000
- Loss = 15%
- Cost Price ≈ 4705.88
- Gain Calculation:
- Desired Gain = 10%
- Selling Price for Gain ≈ 5176.47
In conclusion, to achieve a 10% gain on the mobile phone, it should be sold for approximately 5176.47.
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By selling a mobile phone for 4000 aperson loses 15% for what amount should be sell it so that he gains 10%?
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By selling a mobile phone for 4000 aperson loses 15% for what amount should be sell it so that he gains 10%? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about By selling a mobile phone for 4000 aperson loses 15% for what amount should be sell it so that he gains 10%? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for By selling a mobile phone for 4000 aperson loses 15% for what amount should be sell it so that he gains 10%?.
By selling a mobile phone for 4000 aperson loses 15% for what amount should be sell it so that he gains 10%? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about By selling a mobile phone for 4000 aperson loses 15% for what amount should be sell it so that he gains 10%? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for By selling a mobile phone for 4000 aperson loses 15% for what amount should be sell it so that he gains 10%?.
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