A village lost 15% of it's cows in a flood and 10% of the remainder died of diseases. If no. Of cows were left now is 7650 what was the original no of cows before the flood ?

Doubt in the book

12000

To find the original number of cows before the flood, we can work backwards from the given information.

Let's start with the number of cows left after the flood, which is 7650. We know that this represents 100% minus the percentage loss in the flood (15%). So, we can calculate the number of cows before the flood using the formula:

Original number of cows = (Number of cows after the flood / (100% - Percentage loss in the flood)) * 100%

First, we need to calculate the number of cows after the flood:

Number of cows after the flood = 7650

Now, let's calculate the original number of cows before the flood:

Original number of cows = (7650 / (100% - 15%)) * 100%

We have subtracted the percentage loss (15%) from 100% to find the percentage remaining.

Original number of cows = (7650 / 85%) * 100%

To divide by 85%, we can multiply by the reciprocal, which is 100/85:

Original number of cows = (7650 * (100/85)) * 100%

Simplifying:

Original number of cows = (7650 * 1.1765) * 100%
Original number of cows = 9000 * 100%
Original number of cows = 9000

Therefore, the original number of cows before the flood was 9000.