A sells a suitcase to B at 10% profit. B sell | vedclass

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Question

(C) Let the cost price $(C.P.)$ of the suitcase for $A$ be $₹ x$.According to the problem,$A$ sells it to $B$ at a $10\%$ profit,so the selling price

Vedclass · Accepted Answer

$2000$

Vedclass · Answer

(C) Let the cost price $(C.P.)$ of the suitcase for $A$ be $₹ x$.According to the problem,$A$ sells it to $B$ at a $10\%$ profit,so the selling price for $A$ (which is the cost price for $B$) is $x 	imes (1 + \frac{10}{100}) = x 	imes \frac{110}{100}$.$B$ then sells it to $C$ at a $30\%$ profit. Therefore,the selling price for $B$ (which is the cost price for $C$) is $(x 	imes \frac{110}{100}) 	imes (1 + \frac{30}{100}) = x 	imes \frac{110}{100} 	imes \frac{130}{100}$.Given that $C$ pays $₹ 2,860$,we have:$x 	imes \frac{110}{100} 	imes \frac{130}{100} = 2860$$x 	imes \frac{11}{10} 	imes \frac{13}{10} = 2860$$x 	imes \frac{143}{100} = 2860$$x = \frac{2860 	imes 100}{143}$$x = 20 	imes 100 = ₹ 2000$.Thus,the price at which $A$ bought the suitcase is $₹ 2000$.

$A$ sells a suitcase to $B$ at $10\%$ profit. $B$ sells it to $C$ at $30\%$ profit. If $C$ pays $₹ 2,860$ for it,then the price at which $A$ bought it is (in $₹$):

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