A shopkeeper sells a saree at 8 % profit and | vedclass

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(C) Let the cost price of the saree be $Rs. x$ and the list price of the sweater be $Rs. y$.Case $I$: Sells a saree at $8 \%$ profit and a sweater at

Vedclass · Accepted Answer

$600, 400$

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(C) Let the cost price of the saree be $Rs. x$ and the list price of the sweater be $Rs. y$.Case $I$: Sells a saree at $8 \%$ profit and a sweater at $10 \%$ discount,total sum $= Rs. 1008$.$1.08x + 0.90y = 1008$  --- $(i)$Case $II$: Sells a saree at $10 \%$ profit and a sweater at $8 \%$ discount,total sum $= Rs. 1028$.$1.10x + 0.92y = 1028$ --- $(ii)$Multiply $(i)$ by $92$ and $(ii)$ by $90$ to eliminate $y$:$99.36x + 82.8y = 92736$ --- $(iii)$$99x + 82.8y = 92520$ --- $(iv)$Subtract $(iv)$ from $(iii)$:$0.36x = 216$$x = 600$Substitute $x = 600$ into $(i)$:$1.08(600) + 0.9y = 1008$$648 + 0.9y = 1008$$0.9y = 360$$y = 400$Thus,the cost price of the saree is $Rs. 600$ and the list price of the sweater is $Rs. 400$.

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