Question
The sum of the income of Raj and Roni is Rs. 168000. A
spends 50% of his income and B spends 75% of his income in such a way that B’s saving is Rs. 9000 less than A. If the income of C is 10% more than the average saving of A and B. Find the sum of saving of B and C if saving of C is 30%.Solution
Let the income of B be Rs. X So, the salary of A will be Rs (168000-x) Saving of A = Rs (168000-x) × 0.5 Saving of B = Rs 0.25x As per the question 0.5×(168000-x) = 0.25x+9000 84000-0.5x = 0.25x+9000 0.75x = 75000 X= Rs 100000 Saving of A and B is Rs 34000 and Rs 25000 respectively Income of C = (1+(10/100)) ×((34000+25000)/2) = (110/100)×(29500) = Rs 32450 Saving of C = (30/100) ×(32450) = Rs 9735 Sum of the saving of B and C = Rs. 9735 + Rs 25000 = Rs 34735
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