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

Solution(By Examveda Team)

Let us consider total number of goats = 1000x
∴ After loss of 12% of goat in flood, remain goats is
= 1000x - 12% of 1000x
= 1000x - 120x
= 880x
Now 5% goats are died from diseases, Remain goats is
= 880x - 5% of 880x
= 880x - 44x
= 836x
Total number of remain goats = 8360
∴ 836x = 8360
⇒ x = 10
∴ Number of Goats = 1000 × 10 = 10000

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Alternate Solution:
Let the number of goats before flood be x
According to the question,
$$\eqalign{ & {\text{x}} \times \frac{{88}}{{100}} \times \frac{{95}}{{100}} = 8360 \cr & \Rightarrow x = \frac{{8360 \times 100 \times 100}}{{88 \times 95}} \cr & \Rightarrow x = 10000 \cr} $$