Question : Ramesh purchases a table and a chair for Rs.3,900. He sells the table at a profit of 8% and the chair at a profit of 16%. He earns a profit of Rs.540. What is the difference between the original price of the table and the chair?
Option 1: Rs. 2,000
Option 2: Rs. 1,800
Option 3: Rs. 1,900
Option 4: Rs. 1,700
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Correct Answer: Rs. 1,800
Solution :
Let the original price of the chair be Rs. Q.
The original price of the table = Rs. (3900 – Q)
According to the question,
Q × 16% + (3900 – Q) × 8% = 540
⇒ 16Q + 3900 × 8 – 8Q = 54000
⇒ 8Q = 54000 – 3900 × 8
⇒ 8Q = 22800
⇒ Q = 2850
So, the original price of the table = 3900 – 2850 = Rs. 1050
Now, the price difference between the chair and table = 2850 – 1050 = Rs. 1800
Hence, the correct answer is Rs. 1,800.
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