Question

selling a table for rupees 1409 a man gains 1/6 of its cost price find the cost price of the table
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Answer 1

Given:

Selling Price(S) = Rs.1409

Total Gain = $\frac{1}{6}$ of cost price

To Find:

Cost Price

Solution:

Let us assume the Cost Price as x.

As it is given that there is a profit (gain) for the man,

                             $Profit = Selling Price - Cost Price$

                                 $\frac{1}{6}* x = 1409 - x$

                                $\frac{x}{6} +x = 1409$

                                     $\frac{7x}{6} = 1409$

                                     $7x =1409 * 6$

                                     $7x = 8454$

                                      $x = \frac{8454}{7}$

                                      $x = 1207.7$

Hence, x was the assumed value of Cost Price.

So, the Cost Price is Rs.1207.7