Question

Q.6 Find a number whose 6 1/4% is 12​

Answer 1

SOLUTION

TO DETERMINE

The number whose 6 1/4% is 12

EVALUATION

Let a be the required number

Then by the given condition

$\displaystyle \sf{ a \times 6 \frac{1}{4} \: \% \: = 12}$

$\implies \displaystyle \sf{ a \times \frac{25}{4} \: \% \: = 12}$

$\implies \displaystyle \sf{ a \times \frac{25}{4} \times \frac{1}{100} \: = 12}$

$\implies \displaystyle \sf{ a \times \frac{1}{16} \: = 12}$

$\implies \displaystyle \sf{ a \: = 12 \times 16}$

$\implies \displaystyle \sf{ a = 192}$

FINAL ANSWER

The required number is 192

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Answer 2

Step-by-step explanation:

Let a be the required number

Then by the given condition

\displaystyle \sf{ a \times 6 \frac{1}{4} \: \% \: = 12}a×6

4

1

%=12

\implies \displaystyle \sf{ a \times \frac{25}{4} \: \% \: = 12}⟹a×

4

25

%=12

\implies \displaystyle \sf{ a \times \frac{25}{4} \times \frac{1}{100} \: = 12}⟹a×

4

25

×

100

1

=12

\implies \displaystyle \sf{ a \times \frac{1}{16} \: = 12}⟹a×

16

1

=12

\implies \displaystyle \sf{ a \: = 12 \times 16}⟹a=12×16

\implies \displaystyle \sf{ a = 192}⟹a=192

FINAL ANSWER

The required number is 192