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An article costing Rs.1000 is sold at 5% loss and another article purchased with the money got was again sold at 5% gain. Was there a loss or gain and
Question

An article costing Rs.1000 is sold at 5% loss and another article purchased with the money got was again sold at 5% gain. Was there a loss or gain and how much?

A.

2.5% gain

B.

Rs. 2.5 loss

C.

2% loss

D.

Rs.2 gain

Correct option is B

Given:
​Cost price (CP) of the first article = Rs. 1000,
First article is sold at a 5% loss,
The second article is purchased with the money obtained from the sale of the first article and sold at a 5% gain.
Concept Used:
For the first article, selling price (SP) is calculated using:
SP = CP×(1Loss%100)\text{CP} \times \left(1 - \frac{\text{Loss\%}}{100}\right)​​
The selling price of the first article becomes the cost price of the second article.
For the second article, selling price is calculated using
SP = CP×(1+Gain%100).\text{CP} \times \left(1 + \frac{\text{Gain\%}}{100}\right).​​
Solution:
Initial cost of the article = Rs. 1000
Sold at 5% loss, so selling price = 1000 - 5% of 1000 = 1000 - 50 = Rs. 950
With Rs. 950, another article is purchased and sold at 5% gain.
Selling price of the new article = 950 + 5% of 950 = 950 + 47.5 = Rs. 997.5
Net result = Initial cost - Final amount = 1000 - 997.5 = Rs. 2.5 loss ​​

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