Rohan spends 20% of his monthly income on house rent and 30% on education. He then spends 10% of the remaining income on travel and saves the rest. If his monthly saving is Rs. 13,500, find his monthly income.

ATQ, Let Rohan’s monthly income be 100%. He spends 20% of his income on house rent. He spends 30% of his income on education. Total amount spent on rent and education = 20% + 30% = 50% Remaining income after rent and education = 100% − 50% = 50% Now, he spends 10% of the remaining income on travel. Remaining income = 50% of total income. So, travel expense = 10% of 50% of total income. Travel expense = 10 × 50/100 Travel expense = 5% So, travel expense is 5% of the total monthly income. Now calculate total expense. Total expense = Rent + Education + Travel Total expense = 20% + 30% + 5% Total expense = 55% Saving = 100% − 55% Saving = 45% Given monthly saving = Rs. 13,500 So, 45% of monthly income = Rs. 13,500 Monthly income = 13,500 × 100/45 Monthly income = 13,500 × 20/9 Monthly income = 1,500 × 20 Monthly income = Rs. 30,000