Question : Two items A and B are sold at a profit of 10% and 15%, respectively. If the amount of profit received is the same, then the cost price of A and B may be:
Option 1: Rs. 1,000 and Rs. 1,500
Option 2: Rs. 5,000 and Rs. 2,000
Option 3: Rs. 3,000 and Rs. 2,000
Option 4: Rs. 3,000 and Rs. 5,000
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Correct Answer: Rs. 3,000 and Rs. 2,000
Solution :
Let the cost price of item A as P and the cost price of item B as Q.
Given that items A and B are sold at a profit of 10% and 15%, respectively, and the amount of profit received is the same.
⇒ 0.10P = 0.15Q
⇒ P = 1.5Q
At the options, the pair that fits this condition is Rs. 3,000 and Rs. 2,000.
Hence, the correct answer is Rs. 3,000 and Rs. 2,000.
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