a man sold an article at a profit of 10% has he bought it at 20% less and sold it for ₹10 more he would have earned a profit of 40% find the cost price of the article please solve it with proper steps
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Answer:
500
Step-by-step explanation:
Let the cost price = 'x'.
Then, Selling price = (110x)/100 = 11x/10.
Given that he bought it at 20% less.
So, Cost price = 80% of x = (80x/100) = 4x/5.
Given, gain = 40%.
New, Selling price = 140% of (4x/5)
= (140/100) * (4x/5)
= 112x/100
Difference in selling price = (11x/10) - (112x/100) = -10
⇒ (-x/50) = -10
⇒ -x = -500
⇒ x = 500.
Therefore, cost price of the article is 500.
Hope it helps
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