Question

By selling oranges at the rate of Rs\[6\dfrac{3}{4}\] per orange, a man gets Rs.378. How many oranges does he sell?

Answer 1

Hint: Fraction is defined as equal parts of a whole thing. It is also called the ratio of two integers. This ratio of two integers is separated by a bar. The numeral present above the solidus is known as numerator, and the numeral present below the solidus is called a denominator.

Complete step-by-step solution:
As we can see that there is a mixed fraction in the question. A mixed fraction is made up of a whole number and a proper fraction.
As mentioned in the question oranges are sold at the price of Rs\[6\dfrac{3}{4}\] per orange.
Now, let the number of oranges sold be \[x\]
So, by applying the unitary method, we get that:
\[6\dfrac{3}{4} \times x = 378\]
To simplify this equation, we can convert the mixed fraction into an improper fraction, so we can write \[6\dfrac{3}{4}\] as \[\dfrac{{27}}{4}\].
Now, putting this value in the equation above, we get that:
\[ \Rightarrow \dfrac{{27}}{4} \times x = 378\]
Further solving this equation, we get that:
\[\begin{align}
  & \Rightarrow \,x = \dfrac{{378 \times 4}}{{27}} \\
  & \Rightarrow x = 56 \\
\end{align} \]
Therefore, he sells 54 oranges for Rs.378 .

Note: To convert a mixed fraction into an improper fraction, first we have to multiply the whole number with the denominator. Then we will add the result of the multiplication with the numerator. Now, we will simply write the final result in place of the numerator, but the denominator remains the same here.