Question
A man allocates 12%, 18%, and 20% of his salary to his
three children, P, Q, and R, respectively. The children spend 50%, 60%, and 56% of their received amounts. The difference between the total money left with the children and the man is Rs. 3360. What is the man's salary?Solution
Let the salary of man = 100x He gives 12x, 18x and 20x to children Savings of man = 100x – (12x+18x+20x) = 50x Savings of P = 50% of 12x = 6x Savings of Q = 40% of 18x = 7.2x Savings of R = 44% of 20x = 8.8x Total savings of P, Q and R = 6x+7.2x+8.8x = 22x Difference = 3360 50x-22x = 3360 28x = 3360 X = 120 Total salary of man = 100x = 12,000
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