Question

A shopkeeper sells a pen set at 20% profit to another shopkeeper who sells it at a loss of 20%. If price of pen set was 112, what is net profit or loss on total transaction ?​

Answer 1

$\text{Answer}$

➪ 4 persent loss on total transaction.

To Find :-

=> what is net profit or loss on total transaction ?

Solution :-

⇨C.P of pen set for first Shopkeeper = ₹112

⇨S.P of pen set for first shopkeeper :-

$= \sf cost \: price \times( \frac{100 \: + \: \: profit\% \: \: }{100} )$

$\sf = \: 112 \times ( \frac{100 + 20}{100} )$

$\sf=\frac{112 \times 120}{100}$

$= \sf \: rupees \: \: \: 134.40$

⇨Cost price of set for 2nd shopkeeper = ₹134.40

______________ ★

⇨S.P of pen set for second shopkeeper :-

$= \sf \: cp \times ( \frac{100 - loss\%}{100} )$

$\sf = 134.40 \times( \frac{100 - 20}{100} )$

$= \sf \: 134.40 \times \frac{80}{100}$

$=107.52 \: rs$

______________ ★

$\text{Initial CP > Last SP, then definitely less occurred.}$

$= \rm \: loss \: percentages \: = \frac{loss}{cp} \times 100$

$= \rm \: \frac{112 - 107.52}{112} \times 100$

$= \rm \: \frac{4.48 \times 100}{112} ⇒ \sf \: 4\%$

So the main answer is loss 4%

Additional information

=> In case of profit,

• profit = selling price - cost price

• selling price = cost price + profit

• cost price = selling price - profit

=> In case of loss,

• loss = cost price - selling price

• selling price = cost price - loss

• cost price = selling price + loss

Please see the attachment for more information !!