For the following questions answer them individually
If the height of the equilateral triangle is 2โ3 cm, then determine the area (in $$cm^{2}$$) of the equilateral triangle.
Length and breadth of a rectangle are increased by 10% and 20% respectively. What will be the percentage increase in the area of rectangle?
The ratio of three numbers is 3 : 6 : 8. If their product is 9216, then what is the sum of the three numbers?
Rohit started a business with Rs 75000 and after some months Simran joined him with Rs 60000. If the profit at the end of the year is divided in the ratio 3 : 1, then after how many months did Simran join Rohit?
A boy bought 50 chocolates for Rs 1000. If the average price of 30 chocolates is Rs 25, then what is the average price (in Rs) of the remaining
chocolates?
The simple interest on a sum for 8 years is Rs 47500. The rate of interest for the first 5 years is 10% per annum and for the next 3 years is 15% per annum. What is the value (in Rs) of sum?
Selling price of a chair is Rs 1386. If loss percentage is 23%, then what is the cost price (in Rs) of chair?
Marked price of a computer is Rs 48000 and discount is 13%. What is additional discount (in percentage) should be offered to the customer to bring the price of computer to Rs 39672?
Which of the following statement is/are true ?
I. $$\sqrt{144}\times\sqrt{36}<\sqrt[3]{125}\times\sqrt{121}$$
II.$$\sqrt{324}+\sqrt{49}>\sqrt[3]{216}\times\sqrt{9}$$
Pipe X can fill a tank in 20 hours and Pipe Y can fill the tank in 35 hours. Both the pipes are opened on alternate hours. Pipe Y is opened first, then in how much time (in hours) the tank will be full?