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A man sells an article at a profit of 35%. If he had bought it for 15% less price and sold it for Rs. 32 less, then he would have gained 40%. What is the initial cost price (in Rs) of the article?
- a)250
- b)200
- c)300
- d)400
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A man sells an article at a profit of 35%. If he had bought it f...
Case 1:
Let the cost price be ‘C’
Since the man sold the article at a profit of 35%
⇒ Selling Price (S) = Cost Price × (1 + Profit%) = C × (1 + 35%) = 1.35C
⇒ S = 1.35C ---- (Equation 1)
Let the cost price be ‘C’
Since the man sold the article at a profit of 35%
⇒ Selling Price (S) = Cost Price × (1 + Profit%) = C × (1 + 35%) = 1.35C
⇒ S = 1.35C ---- (Equation 1)
Case 2:
In case the cost price is 15% less = C - (15%C) = C - 0.15C = 0.85C
⇒ Selling Price = S - 32
⇒ Selling Price = Cost Price × (1 + Profit%)
⇒ S - 32 = 0.85C × (1 + 40%) ---- (Equation 2)
Substituting the value of ‘S’ from Equation 1 in Equation 2, we get
⇒ 1.35C - 32 = 0.85C (1.4)
⇒ 1.35C - 32 = 1.19C
⇒ 1.35C - 1.19C = 32
⇒ 0.16C = 32
⇒ C = 32/0.16 = 200
∴ Initial Cost price = 200
In case the cost price is 15% less = C - (15%C) = C - 0.15C = 0.85C
⇒ Selling Price = S - 32
⇒ Selling Price = Cost Price × (1 + Profit%)
⇒ S - 32 = 0.85C × (1 + 40%) ---- (Equation 2)
Substituting the value of ‘S’ from Equation 1 in Equation 2, we get
⇒ 1.35C - 32 = 0.85C (1.4)
⇒ 1.35C - 32 = 1.19C
⇒ 1.35C - 1.19C = 32
⇒ 0.16C = 32
⇒ C = 32/0.16 = 200
∴ Initial Cost price = 200
Most Upvoted Answer
A man sells an article at a profit of 35%. If he had bought it f...
Let's solve this problem step by step:
Given:
- Profit percentage = 35%
- If bought at 15% less and sold for Rs. 32 less, profit percentage = 40%
Let the initial cost price be Rs. x
Calculating the Selling Price (SP) and Cost Price (CP) for the first scenario:
- Profit percentage = 35%
- Profit = 35% of CP = 0.35x
- SP = CP + Profit = x + 0.35x = 1.35x
Calculating the Selling Price (SP) and Cost Price (CP) for the second scenario:
- Buying at 15% less, CP = x - 0.15x = 0.85x
- Selling for Rs. 32 less, SP = x - 32
- Profit percentage = 40%
- Profit = 40% of CP = 0.40 * 0.85x = 0.34x
- SP = CP + Profit = 0.85x + 0.34x = 1.19x
Equating the two scenarios:
1.35x = 1.19x + 32
0.16x = 32
x = 32 / 0.16
x = 200
Therefore, the initial cost price of the article is Rs. 200.
Given:
- Profit percentage = 35%
- If bought at 15% less and sold for Rs. 32 less, profit percentage = 40%
Let the initial cost price be Rs. x
Calculating the Selling Price (SP) and Cost Price (CP) for the first scenario:
- Profit percentage = 35%
- Profit = 35% of CP = 0.35x
- SP = CP + Profit = x + 0.35x = 1.35x
Calculating the Selling Price (SP) and Cost Price (CP) for the second scenario:
- Buying at 15% less, CP = x - 0.15x = 0.85x
- Selling for Rs. 32 less, SP = x - 32
- Profit percentage = 40%
- Profit = 40% of CP = 0.40 * 0.85x = 0.34x
- SP = CP + Profit = 0.85x + 0.34x = 1.19x
Equating the two scenarios:
1.35x = 1.19x + 32
0.16x = 32
x = 32 / 0.16
x = 200
Therefore, the initial cost price of the article is Rs. 200.
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A man sells an article at a profit of 35%. If he had bought it for 15% less price and sold it for Rs. 32 less, then he would have gained 40%. What is the initial cost price (in Rs) of the article?a)250b)200c)300d)400Correct answer is option 'B'. Can you explain this answer?
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A man sells an article at a profit of 35%. If he had bought it for 15% less price and sold it for Rs. 32 less, then he would have gained 40%. What is the initial cost price (in Rs) of the article?a)250b)200c)300d)400Correct answer is option 'B'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about A man sells an article at a profit of 35%. If he had bought it for 15% less price and sold it for Rs. 32 less, then he would have gained 40%. What is the initial cost price (in Rs) of the article?a)250b)200c)300d)400Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man sells an article at a profit of 35%. If he had bought it for 15% less price and sold it for Rs. 32 less, then he would have gained 40%. What is the initial cost price (in Rs) of the article?a)250b)200c)300d)400Correct answer is option 'B'. Can you explain this answer?.
A man sells an article at a profit of 35%. If he had bought it for 15% less price and sold it for Rs. 32 less, then he would have gained 40%. What is the initial cost price (in Rs) of the article?a)250b)200c)300d)400Correct answer is option 'B'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about A man sells an article at a profit of 35%. If he had bought it for 15% less price and sold it for Rs. 32 less, then he would have gained 40%. What is the initial cost price (in Rs) of the article?a)250b)200c)300d)400Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man sells an article at a profit of 35%. If he had bought it for 15% less price and sold it for Rs. 32 less, then he would have gained 40%. What is the initial cost price (in Rs) of the article?a)250b)200c)300d)400Correct answer is option 'B'. Can you explain this answer?.
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