Question

The weights of five cartoons of books are in the ratio 2:3:4:5:6. If their total weight is 400 kg, find the weight of each cartoon.

Answer 1

Hint: Always in ratio and proportion questions consider ‘x’ as the common unknown variable for all the quantities whose ratio is been given.

Complete step-by-step answer:
Let's consider ‘x’ as common and then the weight of each cartoon will be 2x, 3x, 4x, 5x, 6x respectively.
Now, according to the data the total weight is given as 400 kg.
This is,
2x + 3x + 4x + 5x + 6x = 400
Showing the above equation
     \[\begin{gathered}
  {\text{20x}}\,{\text{ = }}\,{\text{400 }} \\
  {\text{x}}\,{\text{ = }}\,\dfrac{{{{{\text{400}}}}{\text{}}}}{{{{{\text{20}}}}}} \\
  {\text{x}}\,{\text{ = }}\,{\text{20}}\,{\text{kg}} \\
\end{gathered} \]
Therefore, now we can find out the weight of every cartoon,
Weight of first cartoon is 2 $ \times $20 = 40 kg
Weight of second cartoon is 3 $ \times $ 20 = 60 kg
Weight of third cartoon is 4 $ \times $ 20 = 80 kg
Weight of fourth cartoon is 5 $ \times $ 20 = 100 kg
 Weight of fifth cartoon is 6 $ \times $ 20 = 120 kg

Note: In these types of questions forming an equation with a single unknown quality is important from the given data.After that put the value of x in in value to get an actual answer.