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
Rs. 7000
Rs. 7350
Rs. 8140
Rs. 9200
A
Rs. 7000
B
Rs. 9200
C
Rs. 8140
D
Rs. 7350
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Solution
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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
⇒243200x−65x=105
⇒(243−240200)x=105
⇒x=105×2003=Rs.7000.
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