Question

Divided 4500 into two parts such that 5% of the first part is equal to 10% of the second part

Answer 1

✬ First Part = 3000 ✬

✬ Second Part = 1500 ✬

Step-by-step explanation:

Given:

• Divide 4500 in two parts.
• 5% of first part is equal to the 10% of second part.

To Find:

• What are the two parts ?

Solution: Let the first part be x. Then second part will be (4500 – x).

Now, A/q

➙ 5% of first part = 5/100 $\times$ x

➙ 5x/100.....(1)

and

➙ 10% of second part = 10/100 $\times$ (4500 – x)

➙ 10(4500 – x)/100

➙ 45000 – 10x/100.....(1)

Since, Equation 1 = 2. ( First part = Second part )

$\implies{\rm }$ 5x/100 = 45000 – 10x/100

$\implies{\rm }$ 5x(100) = 100(45000 – 10x)

$\implies{\rm }$ 500x = 4500000 – 1000x

$\implies{\rm }$ 500x + 1000x = 4500000

$\implies{\rm }$ 1500x = 4500000

$\implies{\rm }$ x = 4500000/1500

$\implies{\rm }$ x = 3000

So,

➯ First part = x = 3000

➯ Second part = (4500 – x)

=> 4500 – 3000

=> 1500

Answer 2

Answer:

suppose x and y are two divided parts of 4500. then

x+y=4500 __ (1)

given

5% of x = 10% of y

$\frac{5x}{100} = \frac{10y}{100}$

x=2y

2y+y=4500

3y=4500

y=1500

x+1500=4500

x=4500−1500

x=3000

hence the 4500 is been divided into

two parts of 1500 and 3000.