Albert buys 4 horses and 9 cows for Rs. 13400 | vedclass

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Question

(B) Let the cost price $(C.P.)$ of each horse be $Rs. x$ and that of each cow be $Rs. y$.According to the problem,the total cost for $4$ horses and $9

Vedclass · Accepted Answer

$2000$

Vedclass · Answer

(B) Let the cost price $(C.P.)$ of each horse be $Rs. x$ and that of each cow be $Rs. y$.According to the problem,the total cost for $4$ horses and $9$ cows is $Rs. 13400$:$4x + 9y = 13400$ $...(1)$Profit earned on $4$ horses at $10 \%$ and $9$ cows at $20 \%$ is $Rs. 1880$:$\frac{10}{100} 	imes 4x + \frac{20}{100} 	imes 9y = 1880$$0.4x + 1.8y = 1880$Multiply by $10$ to simplify:$4x + 18y = 18800$ $...(2)$Subtract equation $(1)$ from equation $(2)$:$(4x + 18y) - (4x + 9y) = 18800 - 13400$$9y = 5400$$y = 600$Substitute $y = 600$ into equation $(1)$:$4x + 9(600) = 13400$$4x + 5400 = 13400$$4x = 8000$$x = 2000$Therefore,the cost price of a horse is $Rs. 2000$.

Albert buys $4$ horses and $9$ cows for $Rs. 13400$. If he sells the horses at $10 \%$ profit and the cows at $20 \%$ profit,then he earns a total profit of $Rs. 1880$. The cost price of a horse is (in $Rs.$)

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