A man spends \( \Large \frac{2}{5} \) of his income on house rent, \( \Large \frac{3}{10} \) on food and \( \Large \frac{1}{8} \) on conveyance. If he has Rs.2800 left with him, find his expenditure on food and conveyance together.
Correct Answer: Description for Correct answer:
Part of income left,
=\( \Large 1- \left(\frac{2}{5}+\frac{3}{10}+\frac{1}{8}\right) \)
=\( \Large 1- \left(\frac{16+12+5}{40}\right) \)
=\( \Large 1-\frac{33}{40}=\frac{40-33}{40}=\frac{7}{40} \)
Let the monthly income = x.
According to the question,
\( \Large \frac{7}{40}x = 2800 \)
Therefore, \( \Large x=\frac{2800 \times 40}{7} \)
=\( \Large 400 \times 40 = Rs.16000 \)
Expenditure on food =\( \Large \frac{3}{10} \times 16000 = Rs.4800 \)
Expenditure on conveyance =\( \Large \frac{1}{8} \times 16000 = Rs.2000 \)
Therefore, Expenditure on food and conveyance together
=\( \Large Rs. \left(4800+2000\right) \)=Rs.6800
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