If he had bought it at 5% less than what he paid for it and sold it for Rs.2 less

A man sells an articles at 5%above the cost price. If he had bought it at 5% less than what he paid for it and sold it for Rs.2 less, he would have gained 10%. The cost prices of the article is
(a) Rs.250
(b) Rs.400
(c) Rs.350
(d) Rs.200

Anurag Mishra Professor Asked on 22nd March 2016 in Maths.
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  • 1 Answer(s)

    Answer: (b) Rs. 400 
    Solution:-
    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%. Find the cost price of the article.
    Let C.P = x.
    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 correct answer is option (b) Rs. 400.

     

     

    Anurag Mishra Professor Answered on 26th March 2016.
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