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Question

A person sells a table at a profit of 20%. If he had bought it at 10% less cost and sold for Rs. 105 more, he would have gained 35%. The cost price of the table is
  1. Rs. 7000
  2. Rs. 7350
  3. Rs. 8140
  4. Rs. 9200

A
Rs. 7000
B
Rs. 9200
C
Rs. 8140
D
Rs. 7350
Solution
Verified by Toppr

Let the C.P. of the table be Rs. x.
Then, S.P. of the table at 20% profit=120100×Rs.x=Rs6x5
C.P. of the table at 10% loss =90100×Rs.x=Rs9x10
S.P. of the table at 35% profit now=135100×Rs9x10
Then according to the question
6x5+105=135100×9x10

6x5+105=243200x

243200x65x=105

(243240200)x=105

x=105×2003=Rs.7000.

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