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Hello:

My question follows this word problem:

Three persons A, B and C earned a profit of 70000 Rs in a business. Their share in profit is as follows

A : B = 4 : 2

B : C = 10 : 5

Find share of each person.

Solution:

Total amount of profit = 70000

Ratio of A, B and C is as follows:

A : B : C

4..:..2

......10...: 5

40 : 20 : 10

Sum of ratio = 40 20 10 = 70

Share of A = x 70000 = 40000

Share of B = x 70000 = 20000

Share of C = x 70000 = 10000

Share or A = 40/70 X 70000 = 40000

Share of B = 20/70 X 70000 = 20000

Share of C = 10/70 X 70000 = 10000

How are the amounts of 40, 20 and 10 from above determined?

I thank you for your reply.

A to B is 4:2, which is the same as 2:1.

B to C is 10 to 5, which is also the same as 2:1.

If we want to relate all three, note that we could use 4:2 in the first one,

so that 4:2 and 2:1 could be combined as 4:2:1.

Since 4+2+1=7, and we have 70000 Rs, multiply 4:2:1 by 10000.

This gives 40000:20000:10000, and 40000 + 20000 + 10000 = 70000.

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