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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