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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?
- A250
- B200
- C300
- D400
Answer not set
Discussion 1
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CCommunity
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)
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
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