For the following questions answer them individually
The simple interest on a certain sum at the rate of 12.5% per annum for 6 years is ₹13,500 less than the principal. Find the simple interest.
Using $$\cosec \left(\alpha + \beta \right) = \frac{\sec \alpha \times \sec \beta \times \cosec \alpha \times \cosec \beta}{\sec \alpha \times \cosec \beta + \cosec \alpha \times \sec \beta}$$, find the value of $$\cosec 75^{\circ}$$.
Ram has an average score of 65 runs in 19 innings in cricket matches. Find out how many runs are to be scored by him in the $$20^{th}$$ innings to raise the average score to 67.
A metallic cube has each of its side of length 12 cm. It is melted and recast into three small cubes. Out of these cubes, two have their sides as 6 cm and 8 cm, respectively. The length of each side of the third cube is:
A policeman starts chasing a thief when he was already 600 m ahead. If the policeman is running at a speed of 9 km/h and the thief at 8 km/h, then the thief would be caught at a distance of:
A shopkeeper bought certain number of apples for Rs.3,600. He sold one-fifth of them at a loss of 10%, one-fourth of the remaining apples at a loss of 5%, and two-third of the rest at a profit of 15%. At what price (in Rs.) should he sell the remaining apples to earn a profit of 27% overall?
4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 25 women complete it?
Tue following bar graph shows the sales of books (in thousands) from six branches of a publishing company during two consecutive years 2018 and 2019.
Total sales of $$6^{th}$$ branch for both years is what percentage of the total sales of $$3^{rd}$$ branch
What value of 'y' will satisfy the following equation?
$$\frac{3y}{1+\frac{1}{1+\frac{y}{1-y}}} = 2$$