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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 ?

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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 ?
1). Rs. 1,20,240
2). Rs. 1,24,480
3). Rs..1,12,360
4). Rs. 1,28,120


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2 answers

2 vote
Answered by on | Votes 2 |
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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3 vote
Answered by on | Votes 3 |
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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