Question
Sujata allocated 40% of her annual income to a fixed
deposit. She then spent 25% of the remaining amount on house rent and 15% on food. After these expenditures, she was able to save Rs. 54,000 for the year. What is her monthly income in rupees?Solution
Let, total yearly income be Rs. 100x. So, amount invested in FD = 0.4 × 100x = Rs. 40x So, amount spent on rent and food = (25 + 15)% of (100x – 40x) = 0.4 × 60x = Rs. 24x Therefore, amount saved = 100x – 40x – 24x = Rs. 36x So, 36x = 54000 x = 54000/36 = 1500 Therefore, yearly income of Sujata = 100 × 1500 = Rs. 150000 So, monthly income = 150000/12 = Rs. 12500
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