For the following questions answer them individually
If $$\frac{A}{L} + \frac{M}{B} = 1$$ and $$\frac{B}{M} + \frac{N}{C} = 1$$, then the value of $$\frac{L}{A} + \frac{C}{N}$$ is:
The perimeter of a sector of a circle is 24 cm and the radius is 3 cm. Calculate the area (in $$cm^{2}$$) of the sector.
Study the given table and answer the question that follows.
The table shows the production of five types of cars P, Q, R, S and T by a company from the year 1989 to 1994.
During the period 1989-94, which type of car featured a continuous decrease in production?
Find the value of $$\frac{\cos 65^{\circ}}{\sin 25^{\circ}} + \frac{5 \sin 19^{\circ}}{\cos 71^{\circ}} - \frac{3 \cos 28^{\circ}}{\sin 62^{\circ}}$$
Swastik saves 20% of his income while spends the remaining amount on food, rent, education and shopping. 15% of the income is spent on food, while ₹12,800 is spent on rent, ₹32,000 on education and ₹7,200 on shopping. The amount spent on shopping is 11.25% of the total expenditure. How much money (in ₹) is spent on food?
Simplify the given expression.
$$\frac{a^{2} - b^{2} - 2bc - c^{2}}{a^{2} + b^{2} + 2ab - c^{2}}$$
If the marked price is 75% more than the cost price and a discount of 40% is allowed on the marked price, then the percentage profit is:
In what ratio must a shopkeeper mix two types of rice worth ₹55 per kg and ₹70 per kg, so that the average cost of the mixture is ₹65 per kg?
What is the value of the given expression?
$$\frac{1}{12} + \frac{1}{16} + \frac{1}{8}$$