Question
The income of B is 85% of A and income of C is Rs 3600
more than that of B. The average income of all three together is Rs. 8400. A and B spend 50% of their separate income, while C spends 780 more than what he saves. The savings of C is how much % of average savings of A and B together?Solution
Let the income of A be Rs 100a Than, income of B is = 100 x 0.85a = Rs 85a income of C = Rs (85a + 3600) income of A+B+C = 100a + 85a + 3600 = 270a + 3600  Now , 270a + 3600 = 8400 x 3       270a = 21600       a=80 earning of A= 8000 ; B = 6800 ; C = 10,400 Savings of A= 8000 x ½ = 4000 Savings of B = 6800 x ½ = 3400 Therefore avg savings of A and B = (4000+3400)/2 = Rs 3700 Let savings of C be k Therefore expenditure of C be k+780 Now, k + k + 780 = 10400      2k = 9620       K = 4810 Therefore the % will be = 4810/3700 x 100 = 130%
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