A tradesman sold an article at a loss of 20%. If the selling price had decreased by Rs. 100, there would have been a gain of 5%. What was the cost price of the article?
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Let the cost price of the article be x.
Given that there is a loss of 20%.
Then the Selling price will be = 100 - 20/100
= 80x/100.
= 4x/5
Given that the selling price had decreased by 100%.
4x/5 + 100 ------------- (1).
Given that there would have been a gain of 5%.
x * 105/100
= 105x/100
= 21x/20 ---------- (2)
On solving (1) & (2), we get
4x/5 + 100 = 21x/20
4x/5 = 21x/20 - 100
4x/5 - 21x/20 = -100
-x/4 = -100
-x = -400
x = 400.
The cost price of the article = 400.
Hope this helps!
Given that there is a loss of 20%.
Then the Selling price will be = 100 - 20/100
= 80x/100.
= 4x/5
Given that the selling price had decreased by 100%.
4x/5 + 100 ------------- (1).
Given that there would have been a gain of 5%.
x * 105/100
= 105x/100
= 21x/20 ---------- (2)
On solving (1) & (2), we get
4x/5 + 100 = 21x/20
4x/5 = 21x/20 - 100
4x/5 - 21x/20 = -100
-x/4 = -100
-x = -400
x = 400.
The cost price of the article = 400.
Hope this helps!
Sorry I am not sure about this answer.
correct answer bhai
This solution is valid only when the Selling price increased by 100.
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