In a month, Suresh spends 30% of his income on rent, 20% of the remaining on groceries, 25% of the now remaining on education, (1/7)th of the now remaining on other expenses and saves the rest. If his savings is Rs. 10,800, find the amount spent on education.

Solution

ATQ, Let the income be Rs. 100n Amount spent on rent = 30% of 100n = Rs. 30n Remaining income = 100n − 30n = Rs. 70n Amount spent on groceries = 20% of 70n = Rs. 14n Remaining income = 70n − 14n = Rs. 56n Amount spent on education = 25% of 56n = Rs. 14n Remaining income = 56n − 14n = Rs. 42n Amount spent on other expenses = (1/7) of 42n = Rs. 6n So, savings = 42n − 6n = 36n Given savings = 10,800 So, 36n = 10,800 Or, n = 300 Therefore, amount spent on education = 14n = 14 × 300 = Rs. 4,200