Find the Cost Price of The Article :

A man sells an article at 5% above its cost price. If he had bought it at 5% less than what he had paid for it and sold it at ₹ 2 less, he would have gained 10%. The cost price of the article is

  1. ₹ 400
  2. ₹ 300
  3. ₹ 100
  4. ₹ 200
Anurag Mishra Professor Asked on 26th October 2015 in Maths.
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  • 1 Answer(s)

    Answer: (1)Rs. 400

    Explanation:-
    Let the cost price of an article be Rs. X
    A man sells an article at 5% above its cost price. 
    If he had bought it at 5% less than what he paid for it and sold it at Rs. 2 less, he would have 
    Gained 10%. 

    Then,  S.P = 105x/100. 
    If new C.P = 95x/100. 
    then S.P = (105x – 200)/100. 
    Profit = 10% of 95x/100
    = 95x/1000. 
    Profit = S.P – C.P. 
    95x/1000 = (105x – 200)/100 
    95x/1000 = (105x – 200)/100 – 95x/100 
    95x/1000 = 105x – 200 – 95x)/100 
    95x/10 = 105x – 200 – 95x 
    95x = 10(10x – 200) 
    5x = 2000 
    x = 400 
    C.P = Rs.400

    Hence, the answer is (1) Rs. 400

    Monis Rasool Professor Answered on 28th October 2015.
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