A manufacturer sells an article to a wholesal | vedclass

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(B) Let the initial cost price be $100$.After a profit of $20 \%$,the wholesale dealer buys it for $100 + 20 = 120$.The wholesale dealer sells it to a

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$14 \%$ gain

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(B) Let the initial cost price be $100$.After a profit of $20 \%$,the wholesale dealer buys it for $100 + 20 = 120$.The wholesale dealer sells it to a retail merchant at a loss of $5 \%$.Loss $= 5 \% 	ext{ of } 120 = \frac{5}{100} 	imes 120 = 6$.Selling price $= 120 - 6 = 114$.Resultant profit $= 114 - 100 = 14$.Since the value is positive,it is a $14 \%$ gain.Alternatively,using the formula: $	ext{Resultant } \% = \left(m + n + \frac{m 	imes n}{100}ight) \%$,where $m = 20$ and $n = -5$.Resultant $\% = \left(20 - 5 + \frac{20 	imes -5}{100}ight) = 15 - 1 = 14 \% 	ext{ gain}$.

$A$ manufacturer sells an article to a wholesale dealer at a profit of $20 \%$. The wholesale dealer sells it to a retail merchant at a loss of $5 \%$. Find out the resultant profit or loss.

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