Question
Raman spends 15% of his income on house rent, 20% of the
remaining on food, 25% of the now remaining on education, (3/17)th of the now remaining on travel and saves the rest. If his savings is Rs. 8,400, then find the amount spent on education.Solution
ATQ, Let the income be Rs. 100n Amount spent on rent = 15% of 100n = Rs. 15n Remaining income = 100n − 15n = Rs. 85n Amount spent on food = 20% of 85n = 0.2 × 85n = Rs. 17n Remaining income = 85n − 17n = Rs. 68n Amount spent on education = 25% of 68n = 0.25 × 68n = Rs. 17n Remaining income = 68n − 17n = Rs. 51n Amount spent on travel = (3/17) of 51n = Rs. 9n So, savings = 51n − 9n = 42n Given savings = 8,400 So, 42n = 8,400 Or, n = 200 Therefore, amount spent on education = 17n = 17 × 200 = Rs. 3,400
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