Question

on selling a fan for rupees 4700 A shopkeeper loses 6% at what price must he sell it to gain 6 percentage ​

Answer 1

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

$S.P.=x-\dfrac{6}{100}x$

$S.P.=x-0.06x$

$S.P.=0.94x$

Selling price of a fan = Rs.4700

$4700=0.94x$

$\dfrac{4700}{0.94}=x$

$5000=x$

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

$S.P.=5000+\dfrac{6}{100}\times 5000$

$S.P.=5000+300$

$S.P.=5300$

Therefore, he must sell it for Rs.5300 to gain 6 percentage.