If two numbers are respectively 20% and 50% of a third number, what is the percentage of the first number to the second?

A seller gives 15% discount on an item, if he marked up the price of item 40% above C.P and while selling he cheats the buyer by giving 10% less in weight. Find this overall profit percent (approximately).

A kite is flying at a height of 123 meter. The thread attached to it assumed to be stretched straight and makes an angle of 60° with the level ground. The length of the string will be 

A and B can together complete a piece of work in 18 days. B and C can together complete the same work in 24 days and A and C can together complete it in 36 days. In how many days can A. B and C, working together, complete this piece of work?

By selling 90 chocolates for Rs. 160, a chocolate trader loses 20%. How many chocolates should he sell for Rs. 96 to make a profit of 20%?

If 20% of (A + B) = 30% of (A − B), then what percentage of B is equal to A?

A man can row 10 km/h in still water. When the river is running at a speed of 4.5 km/h, then it takes him 2 h to row to a place and comes back to the initial point . How far is the place (in km) (rounded off to two decimal places)?

Which of the following statements is/are True?
I. $$ {\sqrt{12}}>{^{3}{\sqrt{16}}}>{^{4}{\sqrt{24}}}$$
II. $$ ^{3}{\sqrt{25}}>{^{4}{\sqrt{32}}}>{^{6}{\sqrt{48}}}$$
III. $$ ^{4}{\sqrt{9}}>{^{3}{\sqrt{15}}}>{^{6}{\sqrt{24}}}$$