Answer

Verified

437.1k+ views

**Hint:**Let us assume that ‘x’ be the profit shared by each A, B, and C in the ratio $3: 4: 5$. So, we can say that A’s share is 3x of Rs 6000, B’s share is 4x of Rs 6000, and C’s share is 5x of Rs 6000. Using this relation, find the value of x. Then, find the share of B and C and subtract the value of the share of B from C to get to know how much more C will get than B.

**Complete step-by-step solution**

We know that a profit of Rs 6000 is to be distributed among A, B, and C in the ratio $3:4:5$ respectively.

As we have assumed, that ‘x’ be the profit shared by each A, B and C

So, we get: $3x+4x+5x=6000......(1)$

Now, get the value of x from equation (1)

We have:

$\begin{align}

& \Rightarrow 12x=6000 \\

& \Rightarrow x=Rs.500......(2) \\

\end{align}$

Now, find the profit shared by B and C, we get:

Profit shared by B: $\Rightarrow 4x=4\times 500=Rs.2000$

Profit shared by C: $\Rightarrow 5x=5\times 500=Rs.2500$

Now, subtract the value of share of B from C, we get:

$\begin{align}

& \Rightarrow 2500-2000 \\

& \Rightarrow Rs.500 \\

\end{align}$

**Hence, C will get Rs. 500 more than B.**

**Note:**Whenever two quantities are given in ratio, it doesn’t mean that the value of the quantity is equal to the given ratio.

For example:

If $a:b=3:5$, it doesn’t mean that a = 3 and b = 5.

Instead, assume that $a=3x$ and $b=5x$ where ‘x’ is a constant.

Recently Updated Pages

what is the correct chronological order of the following class 10 social science CBSE

Which of the following was not the actual cause for class 10 social science CBSE

Which of the following statements is not correct A class 10 social science CBSE

Which of the following leaders was not present in the class 10 social science CBSE

Garampani Sanctuary is located at A Diphu Assam B Gangtok class 10 social science CBSE

Which one of the following places is not covered by class 10 social science CBSE

Trending doubts

A rainbow has circular shape because A The earth is class 11 physics CBSE

Which are the Top 10 Largest Countries of the World?

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

How do you graph the function fx 4x class 9 maths CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

Why is there a time difference of about 5 hours between class 10 social science CBSE

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Difference Between Plant Cell and Animal Cell