A village lost 12 % of its goats in a flood a | vedclass

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Question

(B) Let the original number of goats be $x$.After losing $12 \%$ of goats in the flood,the remaining goats are $(100 - 12) \% = 88 \%$ of $x$,which is

Vedclass · Accepted Answer

$10000$

Vedclass · Answer

(B) Let the original number of goats be $x$.After losing $12 \%$ of goats in the flood,the remaining goats are $(100 - 12) \% = 88 \%$ of $x$,which is $0.88x$.Then,$5 \%$ of the remainder died from diseases. The remaining goats after this loss are $95 \%$ of the remainder.So,the final number of goats is $0.95 	imes 0.88x = 8360$.$0.836x = 8360$.$x = \frac{8360}{0.836} = 10000$.Therefore,the original number of goats was $10000$.

$A$ village lost $12 \%$ of its goats in a flood and $5 \%$ of the remainder died from diseases. If the number left now is $8360$,what was the original number before the flood?

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