Question : 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?
Option 1: 1000
Option 2: 10,000
Option 3: 1,00,000
Option 4: 8360
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Correct Answer: 10,000
Solution : Given: A village lost 12% of its goats in a flood and 5% of the remainder died from diseases. Let the original number be 100 units. 12% of goats were lost in the flood ⇒ (100×$\frac{12}{100}$) = 12 units were lost. Now, the remaining goats = (100 – 12) = 88 units 5% of the remainder died from diseases = (88×$\frac{5}{100}$) = 4.4 units The number of goats left = (88 – 4.4) = 83.6 units Here, 83.6 units are equivalent to 8360 ⇒ 100 units are equivalent to ($\frac{8360}{83.6}$ × 100) = $\frac{8360000}{836}$ = 10,000 goats So, the original number of goats is 10,000. Hence, the correct answer is 10,000.
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