Question
If Rs. 4200 is distributed among A, B, and C such that A ∶ B = 2 ∶ 3 and B ∶ C = 6 ∶ 5, then find the share of B.
The correct answer is
Rs, 1680
Given:
Total amount = 4200 rupees, ratio A ∶ B = 2 ∶ 3, ratio B ∶ C = 6 ∶ 5
Formula:
If A ∶ B = 2 ∶ 3 and B : C = 6 ∶ 5, then A ∶ B ∶ C = 12 ∶ 18 ∶ 15.
Solution:
⇒ Sum of the ratios = 12 + 18 + 15 = 45
⇒ B's share = (18/45) × 4200 = 1680 rupees
Therefore, B's share is 1680 rupees.
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