Tuesday, 25 September 2012

1] A man sells an article at 5% profit.If he had brought it at 5% less and sold it for Re.1 less,he would have gained 10%.The cost price of the article is what?
a]100 b]200 c]300 d]400

let the cost price of the article be Rs. x
profit = 5%
selling price = x+(5% of x) = 21x/20
cost price = x - (5% of x) = 95/100
If sold for Rs.1 less
SP = [(21x/20) - 1].Then gain % is 10

{(New SP - SP)/ SP} * 100 = 10
{(2x-20)/19x} *100  = 10
2x-20 = 19x /10
20x - 200 = 19x
x = 200

5 comments:

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  2. 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

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    Replies
    1. I have tried to solve this question by assuming c.p as 100. BT i can't solve it. Will u pls solve it by assuming c.p 100...

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  4. I have tried to solve this question by assuming c.p as 100. BT i can't solve it. Will u pls solve it by assuming c.p 100...

    ReplyDelete