Find the value of \( (1-\frac{1}{3})(1-\frac{1}{4})(1-\frac{1}{5})\ldots(1-\frac{1}{100}) \)
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.
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?
Solve: ( x + y = x2 - y2 = 23 ), find ( y ).
Simplify: \( \log \frac{75}{16} - 2 \log \frac{5}{9} + \log \frac{32}{243} \)