Quantitative Aptitude
A certain sum of money is given at a certain rate of simple interest for 6 years. Had it been given at 7% higher rate, it would have fetched ₹1,512 more. Find the sum (in ₹).
\(\text{If } \sec(t) = \frac{x}{y}, \text{ then } \cot(t) \text{ is equal to:}\)
\(\frac{y}{\sqrt{x^2 - y^2}}\)
\(\frac{x}{\sqrt{x^2 + y^2}}\)
\(\frac{x}{\sqrt{x^2 - y^2}}\)
\(\frac{y}{\sqrt{x^2 + y^2}}\)
Simplify the following: