Answer

Verified

403.8k+ views

**Hint:**

First assume the number of candidates appeared in the examination as ‘x’. Then compute 6% of it as selected from state A, and also compute 7% of it as selected from state B. Then make a simple linear equation based on these two facts and one more fact given in the question. After solving the equation in a single variable, we can get the answer easily.

**Complete step by step solution:**

First, let us assume that the total number of candidates appeared in the examination as ‘x’ from each state A and B.

Now, 6% candidates got selected from the total appeared candidates, so selected candidates from state A, will be,

=$

x \times \dfrac{6}{{100}} \\

\Rightarrow \dfrac{{6x}}{{100}} \\

$ … (1)

Further, 7% candidates got selected from the total appeared candidates, so selected candidates from state B, will be,

=$

x \times \dfrac{7}{{100}} \\

\Rightarrow \dfrac{{7x}}{{100}} \\

$ …(2)

It is given in the question that from state B , 80 more candidates got selected than the state A.

Therefore from equation (1) and (2), we get

$\dfrac{{7x}}{{100}} = \dfrac{{6x}}{{100}} + 80$

Then we do transformation of variable term towards LHS, then

$\dfrac{{7x}}{{100}} - \dfrac{{6x}}{{100}} = 80$

Now we do some more simplification as follows to get the value of x,

$

\Rightarrow \dfrac{x}{{100}} = 80 \\

\Rightarrow x = 8000 \\

$

$\therefore $ The total number of candidates appearing in the examination from each state is 8000.

**Thus the correct option is B.**

**Note:**

Simple arithmetic based questions using the percentage value of some term, is very popular for many competitive examinations as well. Also, to enhance the mathematical logical and computational skill practice of such questions is very important. Also, here solving linear equations in a single variable is the case for solution.

Recently Updated Pages

How do you find slope point slope slope intercept standard class 12 maths CBSE

How do you find B1 We know that B2B+2I3 class 12 maths CBSE

How do you integrate int dfracxsqrt x2 + 9 dx class 12 maths CBSE

How do you integrate int left dfracx2 1x + 1 right class 12 maths CBSE

How do you find the critical points of yx2sin x on class 12 maths CBSE

How do you find the general solution to dfracdydx class 12 maths CBSE

Trending doubts

The provincial president of the constituent assembly class 11 social science CBSE

Gersoppa waterfall is located in AGuyana BUganda C class 9 social science CBSE

One Metric ton is equal to kg A 10000 B 1000 C 100 class 11 physics CBSE

Difference Between Plant Cell and Animal Cell

Give 10 examples for herbs , shrubs , climbers , creepers

The hundru falls is in A Chota Nagpur Plateau B Calcutta class 8 social science CBSE

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

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

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