For the following questions answer them individually
A sum of money is invested at a compound interest rate of 20% per annum, compounded annually. After 3 years, the amount becomes Rs. 8,640. If the same amount had been invested at a rate of 40% per annum for the same duration, what would the amount have been after 2 years?
Anisha shared 60% of her chocolate bars in the ratio 5:7 between her two cousins and kept the remaining bars for herself. Had she distributed the entire collection in the ratio 1:1:1 among her cousins and herself, she would have received 160 grams less chocolate. What was the total weight of the chocolate bars?
A company's stock price decreased by 20% on Monday, 50% on Tuesday, 3% on Wednesday, and increased by 50% on Thursday and 20% on Friday. What can be concluded about the stock price at the end of Friday compared to the beginning of Monday?
Anmol states, "18% of the first number is equivalent to 45% of the second number. What percentage of the second number does 63% of the first number represent?
The value of $$x$$ for which the quadratic expression $$x^2-10x+21$$ attains its minimum value is the root of the quadratic equation $$x^2+kx-45=0$$. Find the value of $$k$$.
What is the sum of the squares of the roots of the equation $$x^2-13x+9=0$$
A rectangular swimming pool has a length of 12 m, a width of 6 m, and a depth of 2 m. The pool is to be painted (bottom floor and the four walls). If the cost of painting per square meter is Rs. 25, what would be the total cost incurred in painting the pool?
Find the internal angle of a polygon with 35 diagonals.
What would be the area of a triangle formed by the medians of an equilateral triangle that has a side length of 12 cm?
The dimensions length, breadth and height of a wooden plank are in the ratio 4:5:7, and its surface area is 20086 square meters. Find the length of the plank.