Given:
Selling price of a fan = Rs.4700
Loss percent = 6%
To find:
The price at which he must sell it to gain 6 percentage.
Solution:
Let x be the cost price of the fan.
Loss percent = 6%
Selling price = Cost price - 6% of cost price
[tex]S.P.=x-\dfrac{6}{100}x[/tex]
[tex]S.P.=x-0.06x[/tex]
[tex]S.P.=0.94x[/tex]
Selling price of a fan = Rs.4700
[tex]4700=0.94x[/tex]
[tex]\dfrac{4700}{0.94}=x[/tex]
[tex]5000=x[/tex]
So, the cost price of the fan is Rs.5000.
Now, he need to sell this fan in 6% gain.
Selling price = Cost price + 6% of cost price
[tex]S.P.=5000+\dfrac{6}{100}\times 5000[/tex]
[tex]S.P.=5000+300[/tex]
[tex]S.P.=5300[/tex]
Therefore, he must sell it for Rs.5300 to gain 6 percentage.
