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
If the value of \(\frac{{p - q}}{q} = \frac{4}{3}\) .find p : q
Half of the villagers of a certain village have their own houses. One-fifth of the villagers cultivate paddy. One-third of the villagers are literate. Four-fifth of the villagers are under 25 years of age. Which one of the following statements is certainly correct ?
The two numbers are in the ratio of 9 ∶ 7 and the difference between of these two number is 6000. What is the sum of the two numbers?
A certain number is added to each of a pair of numbers which are in the ratio 4 ∶ 5. The sum of the resulting numbers is 39 and their ratio (taken in the same order as mentioned above) is 6 ∶ 7. What is the number added?
If (p + q) ∶ (q + r) ∶ (r + p) = 5 ∶ 6 ∶ 7 and p + q + r = 18, find the value of p ∶ q ∶ r
