# 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

- ₹ 400
- ₹ 300
- ₹ 100
- ₹ 200

**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