Question

Cost of one apple is 3 times the cost of an orange. If price of 3 apples is 72 then price of 6 oranges will be Rs.____
A. 24
B. 36
C. 48
D. 72

Answer 1

Hint: We will first find the price of one apple by the given value of the price of 3 apples. The price of one apple is thrice the price of an orange. Hence, divide the price of one apple by 3 to find the price of one orange. At last, multiply the price of one orange by 6 to find the price of 6 oranges.

Complete step by step Answer:

We are given the price of 3 apples as 72.
We will first find the cost of one apple.
We will divide the total cost of apples by the number of apples.
That is, the price of one apple is
$\dfrac{{72}}{3} = 24$
We are also given that the cost of one apple is three times the cost of an orange.
That is 3 multiplied with the cost of an orange is 24.
Let the cost of the orange be $x$.
Then, $3x = 24$
On dividing the equation throughout by 3, we get,
\[x = 8\]
Hence, the cost of one orange is RS.8
But, we have to calculate the cost of 6 oranges.
We will multiply the cost of one orange with 6 to find the cost of 6 oranges.
Therefore, the cost of 6 oranges is 6×8=48
Hence, the cost of 6 oranges is RS. 48.
Therefore, option C is correct.

Note: When we find the price of one unit and then multiply it with the given number of units to find the total cost, it is known as the unitary method. Here, we have calculated the price of one orange and then multiplied with the number of oranges.