1.

The average income of A and B is Rs. 24,000 also B and C is Rs. 36000 , if C income is twice the A income. Then find the average of A , B and C incomes.1. Rs. 32,0002. Rs. 36,0003. Rs, 24,0004. Rs. 48,000

Answer» Correct Answer - Option 1 : Rs. 32,000

Given :-

Average income of A and B = Rs. 24,000

Average income of B and C = Rs. 36000

C income is twice the A income.

Concept :-

Average = Sum of all numbers value/Total number

Calculation :-

⇒ (A + B)/2 = 24000

⇒ A + B = 2 × 24000

⇒ A + B = 48000    ....(1)

Now 

⇒ (B + C)/2 = 36000

⇒ B + C = 2 × 36000

⇒ B + C = 72000    ....(2)

Now,

Let A's income be x 

⇒ C's income = 2x

Subtract equation (1) from equation (2)

⇒ B + C - (A + B) = 72000 - 48000

⇒ B + C - A - B = 24000

⇒ C - A = 24000

From question 

⇒ 2x - x = 24000 

⇒ x = 24000

Now 

⇒ A's income = Rs. 24,000

⇒ C's income = Rs. 48,000 

Put the value of A in equation (1)

⇒  B + 24000 = 48000

⇒ B = 48000 - 24000

⇒ B's income = 24,000

Now 

⇒ Average of all A , B and C income = (24000 + 24000 + 48000)/3

⇒ Average of all A , B and C income = 96000/3

⇒ Average of all A , B and C income = Rs. 32,000

∴ Average of all A , B and C income is Rs. 32,000


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