Question

5. In an examination, 94% of the candidates
passed and 114 failed. How many
candidates appeared?
(A)1140
(B)2650
(C)1900 (D)1800​

Answer 1

Let total no. of candidates be x.

ATQ, no. of passing candidate = x-114

so,

94% of x is (x-114)

$\frac{94}{100} (x) = x - 114 \\ 94x = 100(x - 114) \\ 94x = 100x - 11400 \\ - 6x = - 11400 \\ x = 1900$

So,answer is (c) 1900

Another method

94% passed so 6% failed.

No. of fail candidate= 114

Total no. of candidates= x

ATQ,

94%(x)= 114

94x= 11400

x= 1900

you may go either ways .

hope it helps