If Rs. 70,000 is distributed among A, B, and C such that A : B = 2 : 3 and B : C = 4 : 5, then find the share of A.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. Rs. 16,000.
We will equalize the ratios first
A : B = 2 : 3.....(×4)
and, B : C = 4 : 5.....(×3)
[B is common here so, we will equal the ratio of B]
⇒ A : B = 8 : 12
⇒ B : C = 12 : 15
⇒ A : B : C = 8 : 12 : 15
Total amount = Rs.70000
Share of A = 8/(8 + 12 + 15) × 70000
⇒ 8/35 × 70000
⇒ 8 × 2000 = Rs.16000