Question

Hola!

A sold an article to B at a loss of 20%, and B sold it to C at a profit of 20%. If A had sold the article for the price C paid, what would have been his loss or gain per cent?

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Answer 1

Step-by-step explanation:

given :

• A sold an article to B at a loss = 20 %

• C at a profit = 20%.

to find :

• what would have been his loss or gain per cent = ?

solution :

• A cost price = rs 100

• b selling price = rs 80

• loss 20% = (100 - 20/ 100 × 100)

• gain 20 % = (80+ 20/80 × 100)

• sell= rs 96

• then we have loss and gain = 4 %

learn more :

formula :

CP = ( SP × 100 ) / ( 100 – percentage loss ))

Gain % = (Gain / CP) × 100

Loss % = (Loss / CP) × 100

SP = [(100 + Gain%) / 100] × CP

SP = [(100 – Loss %) / 100] × CP

Answer 2

Hi my friend! Here is your answer :

Given :

• loss incurred by A = 20%
• profit gained by B = 20 %

To find :

• if A had sold it to B at the price C had bought from B , then what would be the gain/loss percent of A ?

Let's Assume :

let's assume that the original CP of the article is rs.100 .

so, we will find other values depending on it .

Formula To be Applied :

we will use these formulae :

• Sp = Cp(100-loss%/100)
• Sp = Cp(100+profit%/100)
• profit/loss % = (p or l/cp)×100

Solution :

Cp at which A has bought the article (assumed) = 100

loss% = 20%

so, Sp in which he sold to B :

$\displaystyle \rm Sp = Cp{(\frac{100-loss}{100} )}$

$\implies \displaystyle \rm Sp = 100(\frac{100-20}{100} )$

$\implies \displaystyle \rm Sp = \cancel{100}\times \frac{80}{\cancel{100}}$

$\implies \displaystyle \rm Sp = 80$

hence, the price A sold the article to B = 80

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So, The Cp for B = 80

Profit gained by B = 20%

So, Sp in which he sold to C :

$\implies \displaystyle \rm SP = CP(\frac{100+profit}{100} )$

$\implies \displaystyle \rm Sp = 80(\frac{100+20}{100} )$

$\implies \displaystyle \rm Sp = 80\times \frac{120}{100}$

$\implies \displaystyle \rm Sp = 8\times 12$

$\implies \displaystyle \rm Sp = 96$

hence, the B sold the article to C for 96

so, Cp or the price at C bought = 96

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so, if A had sold the article at this price, then

loss = cp-sp

or, loss = 100-96

or, loss = 4

so, A has incurred a loss of 4

loss% = loss/cp ×100

or, loss% = 4/100 × 100

or, loss % = 4%

hence, A's loss % would have been 4%