For the following questions answer them individually
The simple interest on an amount for 6 years at 4% p.a. is ₹7,500 less than the simple interest on the same amount for 11 years. Find the amount.
A laptop is sold for ₹54,000 after giving a discount of 20%. What is the list price (in ₹) of the laptop?
If $$x^{2} - \frac{1}{x^{2}} = 4\sqrt{2}$$, what is the value of $$x^{4} - \frac{1}{x^{4}}$$?
P, Q and R can complete a piece of work in 9, 12 and 18 days, respectively. Working together, how much work can they complete in one day?
Ram and Ramesh can do a work in 12 days, Ramesh and Somesh in 15 days and Somesh and Ram in 10 days. If Ram, Ramesh and Somesh work together, in how many days will they complete the work?
A certain distance is covered by a person at a certain speed. If another person covers 25% of the distance in triple the time, the ratio of the speed of the first person to that of the second person is:
A dishonest dealer sells articles at 15% loss on cost price but uses the weight of 20 g instead of 25 g. What is his profit or loss percentage?
If in acute angled triangle ABC, AL, BM, and CN are the three altitudes of triangle ABC, then which of the following statements will be true?
Study the given pie-chart carefully and answer the following question.
What amount (in Rs.) of the fund is acquired by the school from internal sources?
If $$3x = \sec A$$ and $$\frac{3}{x}=\tan A$$ then $$\left(x^{2} - \frac{1}{x^{2}}\right)$$ is _____________.