# 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

**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.