A man spends \(\frac{2}{5}\) of his salary on house rent, \(\frac{3}{10}\) of his salary on food and \(\frac{1}{8}\) of his salary on conveyance. If he has Rs. 1400 left with him, find his expenditure on food.
Fifty is divided into two parts such that the sum of their reciprocals is \( \frac{1}{12} \). Find the two parts.
Find the value of \( (2^{1/4} - 1) (2^{3/4} + 2^{1/2} + 2^{1/4} + 1) \)
If the sales tax reduced from \( 3 \frac{1}{2} \% \) to \( 3 \frac{1}{3} \% \), then what difference does it make to a person who purchases an article with market price of Rs. 9000?
A man owns \(\frac{2}{3}\) of the market research bureau business and sells \(\frac{3}{4}\) of his shares for Rs. 75000. What is the value of the business?
Solve: ( x + y = x2 - y2 = 23 ), find ( y ).
Simplify: \( \log \frac{75}{16} - 2 \log \frac{5}{9} + \log \frac{32}{243} \)