In a bag, the number of ₹5 coins is 8 more than the number of ₹10 coins but 20% less than the number of ₹2 coins. If total amount in the bag is ₹270, what is the number of ₹5 coins?

If $$ {tan\ θ={a\over b}}$$ then $$ {a\sinθ+b\cosθ\over{a\sinθ-b\cosθ}}$$  is

Two vessels A and B contain spirit and water mixed in the ratio 5:2 and 7:6 respectively. Find the ratio in which these mixture be mixed to obtain a new mixture in vessel C containing spirit and water in the ratio 8:5?

The mean of 20 items is 55. If two items 45 and 30 are removed, what will be the new mean of the remaining items?

If the product of three consecutive numbers is 210 then sum of the smaller number is: 

The ratio of two number is 3 :5 . If 6 added to both the number then ratio become 2 :3 then find out the number?

The average weight of five persons sitting in a boat is 38 kg. The average weight of the boat and the persons sitting in the boat is 52kg. What is the weight of the boat?

The ratio of income of two persons is 5 : 3 and that of their expenditures is 9 : 5. If they save ₹ 1300 and ₹ 900 respectively. Their incomes are: