Courses
Courses for Kids
Free study material
Offline Centres
More
Store Icon
Store

The cost of 2 dozen bananas is $Rs.30\dfrac{3}{7}$. Find the cost of 1 banana.

seo-qna
Last updated date: 19th Jul 2024
Total views: 449.7k
Views today: 7.49k
Answer
VerifiedVerified
449.7k+ views
Hint: In the above given question, we are given the price of 2 bananas and we are asked to calculate the price of 1 banana. This can be simply done by dividing the price of bananas with the quantity(number) of the bananas.

Complete step-by-step answer:
Let us assume the cost of 1 banana to be $x$.
We know that, there are 12 bananas in a dozen,
so, 2 dozen bananas$ = 2 \times 12$
=24 bananas.
Now, the cost of 24 bananas$ = 24 \times x$
$ = Rs.24x$
Here given that the cost of 2 dozen, that is, 24 bananas is$Rs.30\dfrac{3}{7}$.
Therefore, we can write,
$\Rightarrow$ $24x = 30\dfrac{3}{7}$
$\Rightarrow$ $24x = \dfrac{{213}}{7}$
$\Rightarrow$ $x = \dfrac{{213}}{{7 \times 24}}$
$\Rightarrow$ $x = \dfrac{{213}}{{168}}$
$ \Rightarrow x = \dfrac{{71}}{{56}}$
$\therefore x = 1\dfrac{{15}}{{56}}$
Hence, the cost of 1 banana is Rs.$1\dfrac{{15}}{{56}}$.

Note: When we face such types of problems, first of all convert the mixed fraction terms and then divide the number of bananas given with the price of the banana and convert the price so obtained into the mixed fraction again, as the given price was also in the mixed fraction only.