Question

A shopkeeper sells a pen worth Rs. 10/- to a customer on profit of 20% & on loss of 25% to another.Find the total profit/loss percentage of the shopkeeper.​

Answer 1

Step-by-step explanation:

☘Answer:-

Given:-

• The worth of the pen is 10.
• His profited percentag is 20% .
• Loss percentage is 25%.

To find :-

• the total profit/loss percentage of the shopkeeper.

Solution:-

$Cost \: price \: of \: pen \: set \: CP \: = \: 112$

$First \: shopkeeper \: sell \: it \: for$

$SP1 \: = \: 112 \: ( \frac{1 + 20}{100} )$

$= 112 \: ( \frac{6}{5} )$

$= 134.4$

$Other \: shopkeeper \: sell \: it \: for$

$SP2 \: = \: 134.4 \: \frac{1 - 20}{100}$

$= 134.4 \: ( \frac{4}{5} )$

$= 107.5$

$Total \: loss \: \% \: in \: transaction$

$=[ ( \frac{(CP - SP2)}{CP} ] \: *100$

$= \frac{4.5 \: * \: 100}{112}$

$= 4.01$

✿HENCE, THE LOSS PERCENTAGE IS 4%.