Question : A man sells two articles at Rs. 9,975 each. He gains 5% on one article and loses 5% on the other. Find his overall gain or loss.
Option 1: Loss Rs. 60
Option 2: Profit Rs. 50
Option 3: Profit Rs. 60
Option 4: Loss Rs. 50
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Correct Answer: Loss Rs. 50
Solution :
A man sells two articles at Rs. 9,975 each.
Total selling price = Rs. 9975 × 2 = Rs. 19950
He gains 5% on one article.
Cost price of that article $=\frac{100}{105}×9975=9500$
He loses 5% on the other article.
Cost price of that article $=\frac{100}{95}×9975=10500$
The total cost price is = Rs. 9500 + Rs. 10500 = Rs. 20000
Loss = Rs. 20000 – Rs. 19950 = Rs. 50
Hence, the correct answer is a loss of Rs. 50.
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