Rs. 42,100 were divided among A, B and C such that 8 times the share of A = 3 times the share of B = 6 times the share of C. Find the share of A.​

Correct option is C

Given:

Total amount = Rs. 42,100

Condition: 8A = 3B = 6C

Find the share of A

Solution:

Let 8A = 3B = 6C = k

Then,

​$$A = \frac{k}{8}, \quad B = \frac{k}{3}, \quad C = \frac{k}{6}$$​​

So the ratio:

A : B : C = $$\frac{1}{8} : \frac{1}{3} : \frac{1}{6}$$​​

A : B : C = 3 : 8 : 4

Sum of ratio parts = 3 + 8 + 4 = 15

Value of 1 part = $$\frac{42100}{15}$$​ = 2806.67

Share of A = 3 × $$\frac{42100}{15}$$ = Rs. 8420

Alternate Solution(Exam-hall trick):