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A dealer sells a table at 20% profit.Had he purchased it for 6% lesser cost and sold for Rs.50 less he would have earned a profit of 25%.Find the cost of

Samarth, Here's the answer... Let the C.P of the table be Rs. x. Then, S.P of table at 20% profit=(100+Profit%)/100*C.P =(100+20)/100*Rs. x which will result into Rs. 12x/10 Now, According to question, C.P of table at 6% lesser it's cost=(C.P of Table)-(6% of C.P) =(Rs. x )- {(6/100)*Rs.x} which will result into Rs. 94x/100 And if he sold the table for Rs. 50 less, New S.P=Rs. 12x/10- Rs. 50 which will result into Rs. (12x-500)/10 So, his gain will be= New S.P -New C.P =Rs. (12x-500)/10 - Rs. 94x/100 which will result into Rs. (26x-5000)/100 and his gain % given is 25%. ∴Gain/C.P*100=Gain% [{(Rs. 26x-5000)/100}/Rs. x*100]%=25% After cancelling off, you will get (26x-5000)/x=25 and if you simplify, you will get 5000. Hence, C.P of chair is Rs. 5000, and that's the answer....!!! Tada...!!!