What will be the net discount (in percent) after giving three successive discounts of $10\%$, $20\%$, and $30\%$?

If $3A=5B$, what is the value of $\frac{(A+B)}{B}$ ?

$3$ litre sugar solution contains $60\%$ sugar. One litre of water is added to this solution. Then the percentage of sugar in the new solution is:

Two numbers are in the ratio $1\frac{1}{2}: 2\frac{2}{3}$ . When each of these is increased by $15$, they are in the ratio $1\frac{2}{3}: 2\frac{1}{2}$. The greater of the numbers is

If $a+b+c=m$ and $\frac{1}{a}+\frac{1}{b}+\frac{1}{c}=0$, then the average of $a², b²$ and $c²$ is:

The perimeter of a triangle is $67 cm$. The first side is twice the length of the second side. The third side is $11 cm$ more than the second side. Find the length of the shortest side of the triangle.

A and B work together to complete the rest of a job in $7$ days. However, $\frac{37}{100}$ of the job was already done. Also, the work done by A in $5$ days is equal to the work done by B in $4$ days. How many days would be required by the faster worker to complete the entire work?

A boat travels $60$ kilometres downstream and $20$ kilometres upstream in $4$ hours. The same boat travels $40$ kilometres dowstream and $40$ kilometres upstream in $6$ hours. What is the speed (in $km/hr$.) of the stream?

If $25\%$ of a number is $6$, what is the number which is $50\%$ more than the initial number?