Question : An article was sold at a loss of 13.5%. If it was sold for INR 1,104 more, then there would have been a profit of 9.5%. The cost price of the article was:
Option 1: INR 4,600
Option 2: INR 4,800
Option 3: INR 4,400
Option 4: INR 4,200
Correct Answer: INR 4,800
Solution :
Let $x$ be the cost price.
Loss = 13.5% of cost price = $0.135x$
Selling price = cost price – loss = $x-0.135x$ = $0.865x$
When selling price = $0.865x$ + INR 1,104,
Profit = 9.5% of cost price = $0.095x$
Cost price = selling price – profit
$x = 0.865x + 1104 - 0.095x$
⇒ $0.23x = 1104$
⇒ $x=4800$
Hence, the correct answer is INR 4,800.
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