Answer:
Marmik = 800; Sujata = 600; Kapil = 400
Step-by-step explanation:
Given
Let
[tex]M \to Marmik[/tex]
[tex]S \to Sujata[/tex]
[tex]K \to Kapil[/tex]
Given
[tex]M:S:K = \frac{1}{3}:\frac{1}{4}:\frac{1}{6}[/tex]
[tex]Amount = 1800[/tex]
Required
Divide
We have:
[tex]M:S:K = \frac{1}{3}:\frac{1}{4}:\frac{1}{6}[/tex]
Multiply the ratio by 12 (to convert them to whole numbers)
[tex]M:S:K = 12 *\frac{1}{3}:12*\frac{1}{4}:12*\frac{1}{6}[/tex]
[tex]M:S:K = 4 : 3 : 2[/tex]
The total ratio is:
[tex]Total = 4 + 3 + 2 = 9[/tex]
So, the amount each collected is:
[tex]Marmik = \frac{M}{Total} * Amount[/tex]
[tex]Marmik = \frac{4}{9} *1800 = 800[/tex]
Using the same formula for others, we have:
[tex]Sujata = \frac{3}{9} *1800 = 600[/tex]
[tex]Kapil = \frac{2}{9} *1800 = 400[/tex]
