Question

A man sold two watches 240 each, on.one he gained 20% and on.the other he lost 20%. find the gain or loss percent in the transaction

Answer 1

The Answer is 4% Loss

Answer 2

$\textbf{Answer}$

A man sold two watches at 240 Rs each.

=> Selling price of each watch,
$\textbf{SP = 240 Rs}$

Lets suppose that cost price of 1st watch = CP1
Suppose on 1st watch he gains 20%,

Gain% = {(SP1 - CP1) / CP1}×100
&
Loss% = {(CP2 - SP2) / CP2}

$\textbf{Since gain}$% $\textbf{on 1st watch is 20}$%,

=> 20 = {(240 - CP1)/(CP1)} × 100
=> (240 - CP1) = (CP1 × 20)/100
=> 240 - CP1 = CP1 / 5
=> CP1 = 1200 - 5CP1
=> CP1 + 5CP1 = 1200
=> CP1 = 200


$\textbf{Since loss}$% $\textbf{on 2nd watch is 20}$%,

=> 20 = {(CP2 - 240)/CP2} × 100
=> (CP2 - 240) = (CP2 × 20) / 100
=> CP2 - 240 = CP2 / 5
=> 5CP2 - 1200 = CP2
=> 4CP2 = 1200
=> CP2 = 300

$\textbf{Cost Price of first watch is 200 Rs}$
$\textbf{Cost price of 2nd watch is 300 Rs}$
$\textbf{Selling Price of both watch is 240 Rs}$

=> Total Cost Price = 200 + 300 = 500 Rs
=> Total Selling Price = 240 + 240 = 480 Rs

Since total selling price is greater than the total cost price,this means man suffers loss in money.

Total Loss = Total Cost Price - Total Selling Price = 500 - 480 = 20 Rs

So Loss% = (20/500) × 100

$\textbf{Total Loss = 4}$%

$\textbf{Hope My Answer Helped}$

$\textbf{Thanks}$