Question
Arun allocates his income in the following manner: 20%
is spent on food. After food expenses, he uses 20% of the balance on rent. He spends one-fourth of the remaining amount on travel. Following these expenses, he spends 25% of what's left on miscellaneous items. He saves the remaining sum, which amounts to Rs. 36,000. Calculate his total income.Solution
Let the income of Arun be Rs. '100q'.
Money spent on food = 0.20 × 100q = Rs. '20q'
Remaining income = 100q – 20q = Rs. '80q' Money spent on rent = 0.20 × 80q = Rs. '16q'
Remaining income = 80q – 16q = Rs. '64q' Money spent on travel = (1/4) × 64q = Rs. '16q'
Remaining income = 64q – 16q = Rs. '48q' Money spent on miscellaneous = 0.25 × 48q = Rs. '12q'
Savings = 48q – 12q = Rs. '36q' So, 36q = 36,000
Or, q = 1,000
Therefore, income of Arun = 1,000 × 100 = Rs. 1,00,000
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