Question 137

The average monthly income of A and B is Rs. 7,760. The average monthly income of B and C is Rs. 10,990 and that of C and A is Rs. 9,070. What is the annual income of B ?

Solution

Monthly income of :

$$(A + B) = 2 \times 7,760$$ = Rs. $$15,520$$

$$(B + C) = 2 \times 10,990$$ = Rs. $$21,980$$

$$(C + A) = 2 \times 9,070$$ = Rs. $$18,140$$

Adding above equations, we get :

=> $$2 (A + B + C)$$ = $$15,520 + 21,980 + 18,140$$ = $$55,640$$

=> $$A + B + C = \frac{55,640}{2} = 27,820$$

From equation (3) above

=> $$B = 27,820 - 18,140 = 9,680$$

$$\therefore$$ B's annual salary = $$12 \times 9680$$

= Rs. $$1,16,160$$

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