Question
Ramesh spends 15% of his income on house rent, 30% of
the remaining on groceries, 40% of the remaining on children's education, and (3/10)th of the remaining income on travel. He saves the rest. If his total savings is Rs. 12,000, find the amount he spends on children's education.Solution
ATQ, Let the income be Rs. '100n'Â Â Amount spent on house rent = 0.15 Ă— 100n = Rs. '15n'Â Â Remaining income = 100n - 15n = Rs. '85n'Â Â Amount spent on groceries = 0.30 Ă— 85n = Rs. '25.5n'Â Â Remaining income = 85n - 25.5n = Rs. '59.5n'Â Â Amount spent on education = 0.40 Ă— 59.5n = Rs. '23.8n'Â Â Remaining income = 59.5n - 23.8n = Rs. '35.7n'Â Â Savings = (7/10) Ă— 35.7n = '24.99n'Â Â So, 24.99n = 12,000Â Â Or, 'n' = 480Â Â Required amount = 23.8 Ă— 480 = Rs. 11,424Â Â
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