Answer:

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Step-by-step explanation:

Correct option is B)

Let the total number is x.

Then, (

100−25

) of (

100−10

)%x=4050

⇒75% of 90% of x=4050

⇒

100

75

×

100

90

×x=4050

⇒x=

27

4050×50

=6000

Therefore, original inhabitants are 6000

Verified answer

Answer:

Let's call the original number of cows the villager had "X." In 2011, 10 cows died, so the villager had X - 10 cows remaining. In 2012, 25/2 of the remaining cows died, which means (25/2)*(X - 10) cows died. So, the number of cows remaining after 2012 would be (X - 10) - (25/2)*(X - 10).

Given that the remaining cows are 63 after 2012, we can set up the equation:

(X - 10) - (25/2)*(X - 10) = 63

Now, you can solve for X:

(X - 10) - (25/2)*(X - 10) = 63

Multiply both sides by 2 to get rid of the fraction:

2(X - 10) - 25(X - 10) = 126

Distribute the 2 and the -25:

2X - 20 - 25X + 250 = 126

Combine like terms:

-23X + 230 = 126

Subtract 230 from both sides:

-23X = -104

Now, divide by -23:

X = 4

So, the villager originally had 4 cows.

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