Question : If the difference between the selling prices of an article at profits of 10% and 7% is INR 6, then the cost price (in INR) of the article is:
Option 1: 175
Option 2: 150
Option 3: 200
Option 4: 100
Correct Answer: 200
Solution :
The difference in selling price by selling an article at a profit of 10% and 7% = INR 6
Let the cost price (CP) of the article be $x$.
According to the question,
110% of $x$ – 107% of $x$ = 6
⇒ 3% of $x$ = 6
⇒ $x = \frac{6}{3}\times 100 = 200$
CP of the article = INR 200
Hence, the correct answer is 200
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