Question

number is 12 30 if 20% of one number is equal to 50% of otherदशामा ​

Answer 1

Given:

✰ The sum of two numbers is 1230.

✰ 20% of one number is equal to 50% of other.

To find:

✠ Both the numbers

Solution:

Let the numbers be 100x and 100y

Now, we know that the sum of two numbers is 1230, so

• 100x + 100y = 1230 ....①

Now, we know that the 20% of one number is equal to 50% of other.

• 20% of 100x = 50% of 100y

• 20/100 × 100x = 50/100 × 100y

• 2/10 × 100x = 5/10 × 100y

• 2 × 10x = 5 × 10y

• 20x = 50y

Now, multiply both the sides by 5

• 20x × 5 = 50y × 5

• 100x = 250y ....②

Substitute the values of eq ② in eq ① , we have

• 250y + 100y = 1230

• 350y = 1230

• y = 1230/350

• y = 3.514

We have consider the other number as 100y

• 100y = 3.514 × 100

• 100y = 351.4

Now, take eq ① for finding the value of 100x

• 100x + 100y = 1230

• 100x = 1230 - 100y

Substitute the value of 100 y in

• 100x = 1230 - 351.4

• 100x = 878.6

∴ The first number = 878.6

And the other number = 351.4

Verify:

As it is given the sum of two numbers is 1230, so

• 878.6 + 351.4 = 1230

Also, 20% of one number is equal to 50% of other.

• 20% of 878.6
• 20/100 × 878.6
• 2/10 × 878.6
• 175.7

• 50% of 351.4
• 50/100 × 351.4
• 5/10 × 351.4
• 175.7

Hence Verified!!

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Answer 2

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