On selling a car to Anuj, Aman suffered a loss of 10%. Anuj sold the car for Rs.5,54,400 suffering a loss of 12%. What would be
the cost price of the car for Aman?
This questions was previously asked in
SSC CPO 9th Nov 2022 Shift 3
Rs.7,00,000
Correct AnswerRs.8,00,000
Incorrect AnswerRs.6,50,000
Incorrect AnswerRs.7,50,000
Incorrect AnswerExplanation:
- Anuj sold the car for Rs.5,54,400 at a 12% loss. This means the selling price represents 88% of Anuj's purchase price.
- Let Anuj’s cost price be \( x \).
- From the equation, \( 0.88x = 5,54,400 \).
- Solving, \( x = 5,54,400 / 0.88 = 6,30,000 \).
- Aman suffered a 10% loss when selling to Anuj. Thus, Anuj’s purchase price of Rs.6,30,000 represents 90% of Aman's purchase price.
- Let Aman’s cost price be \( y \).
- From the equation, \( 0.9y = 6,30,000 \).
- Solving, \( y = 6,30,000 / 0.9 = 7,00,000 \).
- ?? The cost price of the car for Aman is Rs.7,00,000.
- Options:
- Option 1: Rs.7,00,000
- Option 2: Rs.8,00,000
- Option 3: Rs.6,50,000
- Option 4: Rs.7,50,000
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By: santosh