Question
Rohan allocates his income in the following manner: he
spends 25% on rent, then 20% of the remaining amount on food. From what is left, he deposits 30% into his bank account and divides the rest between insurance and shares in the ratio of 9:5. If the difference between the amounts he invests in insurance and shares is Rs. 10,800, calculate the total amount deposited by Rohan in his bank account.Solution
Let the income of Rohan be Rs. '100x' So, income spent on rent = 100x X 0.25 = Rs. '25x' So, remaining income = 100x - 25x = Rs. '75x' Now, income spent on food = 75x X 0.2 = Rs. '15x' So, remaining income = 75x - 15x = Rs. '60x' So, sum deposited in bank = 60x X 0.3 = Rs. '18x' And remaining income = 60x - 18x = Rs. '42x' So, sum invested in insurance = 42x X (9/14) = Rs. '27x' And sum invested in shares = 42x - 27x = Rs. '15x' ATQ; 27x - 15x = 10800 Or, 12x = 10800 So, 'x' = 900 So, sum deposited in the bank = Rs. '18x' = Rs. (900 X 18) = Rs. 16,200
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