A shopkeeper earns a profit of 12 % on sellin | vedclass

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Question

(A) Let the printed price (marked price) of the book be $₹ 100$.Since the discount is $10 \%$,the selling price is $100 - 10 = ₹ 90$.Let the cost pric

Vedclass · Accepted Answer

$45:56$

Vedclass · Answer

(A) Let the printed price (marked price) of the book be $₹ 100$.Since the discount is $10 \%$,the selling price is $100 - 10 = ₹ 90$.Let the cost price be $CP$.The shopkeeper earns a profit of $12 \%$,so the selling price is $CP 	imes (1 + \frac{12}{100}) = CP 	imes 1.12$.Equating the selling prices: $1.12 	imes CP = 90$.$CP = \frac{90}{1.12} = \frac{9000}{112}$.Simplifying the fraction by dividing by $4$: $CP = \frac{2250}{28} = \frac{1125}{14}$.The ratio of cost price to printed price is $\frac{1125}{14} : 100 = \frac{1125}{1400}$.Dividing both by $25$: $\frac{45}{56}$.Thus,the ratio is $45:56$.

$A$ shopkeeper earns a profit of $12 \%$ on selling a book at $10 \%$ discount on the printed price. The ratio of the cost price and the printed price of the book is

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