A tradesman marks his goods 30 % more than th | vedclass

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(C) Let the cost price $(C.P.)$ of the article be $₹ 100$.Since the tradesman marks the goods $30 \%$ above the cost price,the marked price $(M.P.)$ i

Vedclass · Accepted Answer

$21 \frac{7}{8} \%$

Vedclass · Answer

(C) Let the cost price $(C.P.)$ of the article be $₹ 100$.Since the tradesman marks the goods $30 \%$ above the cost price,the marked price $(M.P.)$ is $₹ 130$.The discount allowed is $6 \frac{1}{4} \% = \frac{25}{4} \% = 6.25 \%$.The selling price $(S.P.)$ is calculated as: $S.P. = M.P. 	imes \left(1 - \frac{	ext{Discount} \%}{100}ight)$.$S.P. = 130 	imes \left(1 - \frac{25/4}{100}ight) = 130 	imes \left(1 - \frac{25}{400}ight) = 130 	imes \left(1 - \frac{1}{16}ight) = 130 	imes \frac{15}{16}$.$S.P. = \frac{130 	imes 15}{16} = \frac{1950}{16} = ₹ 121.875 = ₹ 121 \frac{7}{8}$.Gain percent is calculated as: $	ext{Gain} \% = \left(\frac{S.P. - C.P.}{C.P.}ight) 	imes 100$.$	ext{Gain} \% = \left(\frac{121.875 - 100}{100}ight) 	imes 100 = 21.875 \% = 21 \frac{7}{8} \%$.

$A$ tradesman marks his goods $30 \%$ more than the cost price. If he allows a discount of $6 \frac{1}{4} \%$ then his gain percent is

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