Question

divide 4500 into such that 5 Percant of first part is equal to 10 percent of second part​

Answer 1

Total=4500

Let First Part=x

SECOND Part=4500-x

(why we Subtract it.Let You have 10 rupees you have 3 rupees.Remain=10-3=7)

now you may understand.

Then

5% of First part=10% of Second Part

$5\% \times x = 10 \% \times (4500 - x) \\ \\ \frac{\cancel5}{\cancel{100} } \times x = \frac{\cancel{10}}{10\cancel0} \times (4500 - x) \\ \\ \frac{x}{20} = \frac{1}{10} \times (4500 - x) \\ \\ \frac{x}{20} = \frac{4500}{10} - \frac{x}{10} \\ \\ \frac{x}{20} + \frac{x}{10} = \frac{450\cancel{0}}{1\cancel{0}} \\ \\ \frac{x + 2x}{20} = 450 \: \: \: (lcm = 20) \\ \\ \frac{3x}{20} = 450 \\ \\ x = \cancel{450} \times \frac{20}{\cancel{3}} \\ \\ x = 150 \times 20 \\ \\ x = 3000$

First Part=x=3000

Second Part=4500-x=4500-3000=1500

$\boxed{\mathbf{First\:part=3000}}$

$\boxed{\mathbf{Second\:part=1500}}$