# 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 table.

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by Samarth16

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by Samarth16

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The Brainliest 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...!!!