A cloth merchant sold half of his cloth at 20 % profit, half of the remaining cloth at 20 % loss and the rest was sold at its cost price. In the total transaction, his gain or loss will be 

In a village, each of the 60 % of families has a cow; each of the 30 % of families has a buffalo and each of the 15 % of families has both a cow and a buffalo. in all there are 96 families in the village. How many families do not have a cow or a buffalo? 

A and B together have ₹ 158. C has ₹101 less than what A and B together have, and B has ₹ 23 more than C. The amount of A is:

Find the least multiple of 23, which when divided by 18, 21 and 24 leaves the remainder 7, 10 and 13 respectively.

A root of equation $$({ax}^2+bx+c)$$ (where a, b and c are rational numbers) is 5 +3√3. What is the value of $$({a}^2+b^2+c^2) / (a+b+c) ? $$

Two pipes P and Q would fill a cistern in 24 hours and 32 hours respectively. If both pipes are opened together, find when the pipe “P” must be turned off so that the cistern may be just filled in 16 hours-

A boat can row 15 km per hour downstream and 9 km per hour upstream. The speed (in km/hour) of the boat in still water is: