# 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

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.