Question

The price of 357 mangoes is Rs.1517.25. What will be the approximate price of 49 dozen of such mangoes?
A.Rs.3000
B.Rs.3500
C.Rs.4000
D.Rs.2500

Answer 1

Hint: Direct proportion or direct variation is the relation between two quantities where the ratio of the two quantities is a constant value. We will use the direct proportion for solving the above question. Here, when more the mangoes, even more the price.

Complete step-by-step answer:
Here, we are given the price of 357 mangoes =Rs. 1517.25
We are required to calculate the approximate price of 49 dozen mangoes.
49 dozen mangoes = $49 \times 12 = 588$
Let the price of 588 mangoes be x. We know that if the number of mangoes increases, the price will increase automatically.
Now, using the direct proportion method, we get
$\therefore 357$: $\left( {49 \times 12} \right)$:: 1517.25 :\[x\] (ratio of amount of mangoes to price of those mangoes)
$
   \Rightarrow 357x = \left( {588 \times 1517.25} \right) \\
   \Rightarrow x = \dfrac{{\left( {588 \times 1517.25} \right)}}{{357}} \\
   \Rightarrow x = 2499 \\
 $
Hence, the approximate value of 49 dozen mangoes is Rs. 2500

Note: One might get confused in solving such types of questions when you do not have any idea about how to draw the relations with the given quantities. So, it is advisable to write everything provided in the question and proceed step by step.
There is a direct proportion between two distinct values when any one of them is a multiple of the other.
On a higher level, when we need to remove the proportionality symbol, we follow the definition that ratio of two quantities is a constant value. Therefore, we insert a constant in place of the symbol$ \propto $.