A, B and C contract to do a work for ₹ 4200. A can do the work in 6 days, B in 10 days and C in 12 days. If they work together to do die work, what is the share of each? A B C

A, B and C contract to do a work for ₹ 4200. A can do the work in 6 days, B in 10 days and C in 12 days.
From given question, As we know that
A can do the work in 6 days.
A can do 1/6 work in one day.
B can do the same work in 10 days.
B can do 1/10 work in one day.
C can do the same work in 12 days.
C can do 1/12 work in one day.
Work done shared by A : B : C = 1/6 : 1/10 : 1/12
Multiply by 60, we will get,
Work done shared by A : B : C = 10 : 6 : 5
Let us assume ration variable is P.
According to question,
10P + 6P + 5P = 4200
⇒ 21P = 4200
⇒ P = 200
A's share = 10P = 10 x 200 = ₹ 2000
B's share = 6P = 6 x 200 = ₹ 1200,
C's share = 5P = 5 x 200 = ₹ 1000