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(D) Let $H$ be the cost of a horse,$D$ be the cost of a dog,$O$ be the cost of an ox,$S$ be the cost of a sheep,and $G$ be the cost of a goat.Given eq

Vedclass · Accepted Answer

$7500$

Vedclass · Answer

(D) Let $H$ be the cost of a horse,$D$ be the cost of a dog,$O$ be the cost of an ox,$S$ be the cost of a sheep,and $G$ be the cost of a goat.Given equations:$2H = 5D \implies D = \frac{2}{5}H$$6D = 8O \implies O = \frac{6}{8}D = \frac{3}{4}D$$10O = 50S \implies S = \frac{10}{50}O = \frac{1}{5}O$$14S = 9G \implies G = \frac{14}{9}S$Substituting the values back to find $H$ in terms of $G$:$S = \frac{1}{5} 	imes (\frac{3}{4}D) = \frac{3}{20}D$$S = \frac{3}{20} 	imes (\frac{2}{5}H) = \frac{6}{100}H = \frac{3}{50}H$$G = \frac{14}{9} 	imes (\frac{3}{50}H) = \frac{14}{150}H = \frac{7}{75}H$Given $G = 700$,so $700 = \frac{7}{75}H$$H = 700 	imes \frac{75}{7} = 100 	imes 75 = 7500$.Therefore,the cost of one horse is $Rs. 7500$.

Two horses cost as much as $5$ dogs,$6$ dogs as much as $8$ oxen,$10$ oxen as much as $50$ sheep,$14$ sheep as much as $9$ goats. If the price of one goat is $Rs. 700$,find the cost of one horse (in $Rs.$).

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