Raghu had $18$ pencils. He had $\frac{2}{3}$ as many pencils as Rohan. Rohan had $12$ fewer pencils than Rahim. FInd the ratio of number of pencils that Rahim, Rohan and Raghu have.

There were $300$ pupils in a stadium. $40\%$ of them were boys. $60$ more boys entered the stadium. What percentage of the pupils in the stadium are boys now?

There were $60$ coins in a bag.The ratio of the number of $₹2$ coins to the number of $₹5$ coins was $5:7$.  the remaining $12$ coins were of $₹1$.How much money was there in the bag?

A person borrowed $₹4500 \text{for} 2 \text{years}$ and $₹6500 \text{for} 3 \text{years}$ at the same rate of interest. The total interest he had to pay was $₹2565$. Find the rate of interest.

The price of an $\text{MP3}$ player is reduced from $₹125 \text{to} ₹100$. What is the percentage decrease in price?

The side of a right-angles triangle are in the ratio $3:4:5$. Given that the length of the longest side of the triangle is $120 cm$, what is the area of the triangle?

Sonu, Monu and Golu share some pencils in the ratio $4:5:6$. Which of the following is not a possible number of total pencils?

The selling price of a rice cooker was $₹768$. Jessie sold it at a profit of $20\%$. How much was its cost price?

The following are the steps involved in finding the value of $x:y$, if $\frac{3x+4y}{2x+5y}=\frac{4}{3}$. Arrange them in sequential order from the first to the last.

$\left(1\right) 9x+12y=8x+20y$

$\left(2\right) \frac{3x+4y}{2x+5y}=\frac{4}{3}$

$\left(3\right) \frac{x}{y}=8\Rightarrow x:y=8:1$

$\left(4\right) 3\left(3x+4y\right)=4\left(2x+5y\right)$

$\left(5\right) x=8y$