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A person sells a table at a profit of 10% . If he had bought the table at 5% less cost and sold for Rs. 80 more, he would have gained 20% . The cost price of the table is = ?

a) Rs. 3200
b) Rs. 2500
c) Rs. 2000
d) Rs. 200

Answer: c
Explanation: Let the CP1 of Table = 100x
Initial SP1 = 100x + 10% of 100x = 100x + 10x = 110x
If He brought table at 5% discount. Therefore CP2 = 95x
Now SP2 = 95x + 20% of 95x = 95x + 17x =114x
SP2 – SP1 = 80
⇒ 114x – 110x = 80
⇒ 4x = 80
⇒ x = 20
Initial Cost of table = 100 × 20 = Rs. 2000

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