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.
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.
Important Questions from Simple Ratios
The ratio of two numbers A and B is 5 : 8. If 5 is added to each of A and B, then the ratio of A and B becomes 2 : 3. The sum of A and B is:
The ratio of two numbers A and B is 5: 8. If 5 is added to each of A and B, then the ratio becomes 2 : 3. The difference between A and B is:
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The ratio of monthly incomes of A and B is 4 ∶ 5 and that of their monthly expenditures is 3 ∶ 8. If the income of A is equal to the expenditure of B, then what is the ratio of savings of A and B?
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