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

A : B = 4 : 2

B : C = 10 : 5Find the share of each person.

(a) A = 40000, B = 20000, C = 10000 (b) A = 10000, B = 40000, C = 20000

(c) A = 40000, B = 20000, C = 20000 (d) A = 40000, B = 10000, C = 20000

how do we solve it please help?

$A : B = 4 : 2 \Rightarrow \frac{A}{B} = \frac{4}{2} \Rightarrow \frac{A}{B} = \frac{2}{1} \Rightarrow \frac{A}{B} = \frac{4}{2} \Rightarrow A : B = 4 : 2 ...... (1) A n d B : C = 10 : 5 \Rightarrow \frac{B}{C} = \frac{10}{5} \Rightarrow \frac{B}{C} = \frac{2}{1} \Rightarrow B : C = 2 : 1 ...... (2) F r o m (1) a n d (2), w e h a v e, A : B : C = 4 : 2 : 1 T h u s, A' s s h a r e = 70000 \times \frac{4}{(4 + 2 + 1)} = 70000 \times \frac{4}{7} = 40000 B' s s h a r e = 70000 \times \frac{2}{(4 + 2 + 1)} = 70000 \times \frac{2}{7} = 20000 C' s s h a r e = 70000 \times \frac{1}{(4 + 2 + 1)} = 70000 \times \frac{1}{7} = 10000 H e n c e, o p t i o n (A) i s c o r r e c t .$

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