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 is 9 : 5. If 8 is added to the larger number and 4 is subtracted from the smaller number, the greater number becomes twice the smaller number. The larger number is:
Divide 500 into two parts such that the ratio of one to the other are in 5 : 3?
The ratio of the number of men and women in a company is 5 : 4. If the number of men and women increase by 16% and 15%, respectively, then what will be the new ratio of men and women ?
The monthly salaries of an officer and a clerk are in the ratio 11 : 4. If the monthly salary of the officer increases by ₹7,000 and that of the clerk by ₹3,000, then the ratio becomes 19 : 7. What was the initial salary (in ₹) of the officer?
If X : Y = 7 : 5 and Y : Z = 7 : 11, then what is the ratio of X : Y : Z?
