$A$ 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 $%$ ?

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Solution

Let C.P for A= Rs 100
S.P of B= Rs 80 _ 20% loss $(100 - \frac{20}{100} \times 100)$
S.P of C= Rs 96 __ 20% gain $(80 + \frac{20}{80} \times 100)$
If A sells for Rs. 96, Rs. 4 is loss.
$∴$ loss % = 4%

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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 % ?

Let C.P for A= Rs 100S.P of B= Rs 80 _____ 20% loss (100−20100×100)S.P of C= Rs 96 ______ 20% gain (80+2080×100)If A sells for Rs. 96, Rs. 4 is loss.∴ loss % = 4%

$A$ 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 $%$ ?

Let C.P for A= Rs 100
S.P of B= Rs 80 _ 20% loss $(100 - \frac{20}{100} \times 100)$
S.P of C= Rs 96 __ 20% gain $(80 + \frac{20}{80} \times 100)$
If A sells for Rs. 96, Rs. 4 is loss.
$∴$ loss % = 4%