For the following questions answer them individually
Two numbers are, respectively, 17% and 50% more than a third number. The ratio of the two numbers is:
If $$\cos x + \sin x = \sqrt{2} \cos x$$, what is the value of ($$\cos x - \sin x)^{2} + (\cos x + \sin x)^{2}$$?
14 persons can build a house in 60 days. How long will it take 30 persons to build the same house, provided that they all work at the same rate?
The average of 8 numbers is 18. If one of the numbers is excluded, the average becomes 20. Find the excluded number.
The cube of the sum of two given numbers is 1728, while the product of the two given numbers is 32. Find the sum of the cubes of the two given numbers .
Ashok runs $$2\frac{2}{3}$$ times as fast as Bharat. If Ashok gives Bharat a head start of 160m, then how far must the winning post be so that Ashok and Bharat can reach it at the same time?
The following figure shows the different expenses that are incurred in manufacturing toys. If the total expenditure is ₹3,00,000, then how much expenditure was incurred on Material Cost and Selling Expenses (in ₹)?
Aditya buys 300 mangoes for Rs.1, 100. Some of these mangoes are rotten and are thrown away. He sells the remaining mangoes at Rs.5 each and makes a profit of Rs.150. Find the percentage of mangoes thrown away.