Question

Ali spends equal amount in buying two types of oranges at the rate of 5 oranges for a rupeee and 10 oranges for 3 rupees. The average cost of the oranges will be?

Answer 1

average cost is 4 rupee per orange

Answer 2

Answer:

4.16 Rs

Step-by-step explanation:

Let's Ali spends x Rs on each type of oranges.

For 1st types of oranges,

cost of 5 oranges = 1 Rs

cost of 1 orange = $\dfrac{1}{5}\ Rs$

Number of oranges can be bought in x Rs$\ =\ \dfrac{x}{\dfrac{1}{5}}$

                                                                        = 5x

For 2nd type of oranges,

cost of 10 oranges = 3 Rs

cost of 1 orange = $\dfrac{3}{10}$ Rs

Number of oranges can be bought in x Rs$\ =\ \dfrac{x}{\dfrac{3}{10}}$

                                                                        $=\ \dfrac{10x}{3}$

Average cost of the oranges can be given by,

$P\ =\ \dfrac{\textrm{Total number of oranges}}{\textrm{total cost}}$

   $=\ \dfrac{5x+\dfrac{10x}{3}}{x+x}$

   $=\ \dfrac{25x}{6x}$

   = 4.16 Rs

Hence, the average cost of the oranges will be 4.16 Rs.