Question

Solve and find the value of x, if (30x + 70) / x = 100
(A) 2
(B) 4
(C) 1
(D) 3​

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

Solve and find the value of x, if

$\displaystyle \sf{ \frac{30x + 70}{x} = 100}$

(A) 2

(B) 4

(C) 1

(D) 3

EVALUATION

Here the given equation is

$\displaystyle \sf{ \frac{30x + 70}{x} = 100}$

$\implies \sf{30x + 70 = 100x}$

$\implies \sf{30x - 100x = - 70 }$

$\implies \sf{- 70x = - 70 }$

$\implies \sf{x = 1 }$

So the correct option is (C) 1

VERIFICATION

The given equation is

$\displaystyle \sf{ \frac{30x + 70}{x} = 100}$

Putting x = 1 in both sides we get

LHS

$\displaystyle \sf{ \frac{30x + 70}{x} }$

$= \displaystyle \sf{ \frac{(30 \times 1 )+ 70}{1} }$

$= \displaystyle \sf{ \frac{30+ 70}{1} }$

$= \displaystyle \sf{ \frac{100}{1} }$

$= 100$

= RHS

Hence verified

FINAL ANSWER

Hence the correct option is (C) 1

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