For the following questions answer them individually
One side of a right-angled triangle is thrice the other and the hypotenuse is 8 cm. Find the area of the triangle.
Gurpreet went to a shop and bought a sofa. She got a 20% discount on it. Had she received 30% discount, she would have saved ₹1,000 more. How much did she pay for the sofa?
In a class, 60% of the students are boys and the rest are girls. If 40% of the boys and 70% of the girls pass in a test and the number of girls who failed is 42, then the number of boys who failed will be:
A train is going at $$\frac{1}{2}$$ of its usual speed and it takes an extra 60 minutes to reach its destination. Find its usual time to cover the same distance .
Three candidates, A, B and C contested an election and received 1800, 3300 and 3900 votes, respectively. What percentage of the total votes did B get (correct to two decimal places), assuming no vote was invalid?
A TV is listed at ₹15,000 and a discount of 18% is offered on the list price. What additional discount must be offered to the customer to bring the net price to ₹10,1947?
The ratio of four positive numbers is 5 : 8 : 12 : 18 and their LCM is 2880. The difference between the greater and the smaller number is:
A train covers a distance of 325 km in $$2\frac{1}{5}$$ hours with a uniform speed. Find the time taken (in hours) to cover a distance of 650 km at the same speed .