Question

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

Answer 1

Heya dear user !!!

Here is your answer,

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Let,
first number be x
second number = 4500-x

According to the question
5% of the first part = 10% of the second part

$\frac{5}{100} \times x = \frac{10}{100} \times (4500 - x) \\ \\ \frac{x}{20} = \frac{1}{10} \times (4500 - x) \\ \\ 10x = 20(4500 - x) \\ \\ 10x = 90000 - 20x \\ \\ 10x + 20x = 90000 \\ \\ 30x = 90000 \\ \\ x = \frac{90000}{30} \\ \\ x = 3000$

First number x = 3000
Second number = 4500-x = 4500-3000 = 1500

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Check
5% of 3000
= 5/100 × 3000
= 150

10% of 1500
= 10/100 × 1500
= 150

Hence, 5% of first part = 10% of second part.

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Hope it helps.