A family cleans a house for pongal celebration by dividing the work in the ratio 1:2:3. Express each
portion of work as percentage.
Answers
Given:-
A family cleans a house for pongal celebration by dividing the work in the ratio 1:2:3.
To Find:-
Each portion of work in the form of percentage
Solution:-
First, let us assume that the work distributed to members is 1x, 2x, and 3x respectively
Now, find the fractional value of the distributed work
⇒ 1x + 2x + 3x = 6x
⇒ 1x / 6x, 2x/6x, and 3x/6x
Hence, the percentage will be calculated by multiplying the fractional value by 100
⇒ (1x/6x) X 100 = 16.6%
⇒ (2x/6x) X 100 = 33.34%
⇒ (3x/6x) X 100 = 50%
Therefore, each portion of work in the form of percentage will be - 16.6%, 33.34%, and 50% respectively.
Step-by-step explanation:
A family cleans a house for pongal celebration by dividing the work in the ratio 1:2:3. Express each portion of work as percentage.
- Let the ratio of work done for Pongal celebration is 1 : 2 : 3
- So let total work be 100%
- So we have
- a + 2a + 3a = 100
- Or 6a = 100
- Or a = 100 / 6
- Or a = 16.66%
- Now 2a will be 2 x 16.66
- = 33.32%
- Also 3a will be 3 x 16.66
- = 49.98%
- Therefore the percentage of work will be 16.66%, 33.32%, 49.98%
Reference link will be
https://brainly.in/question/19291904