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.
Add Comment
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.
Add Comment

Your Answer

By posting your answer, you agree to the privacy policy and terms of service.